﻿52:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Números reales y funciones:@0.073089:0.043661:0.318030:0.043661:0.318030:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean     :@0.293660:0.231541:0.367087:0.231541:0.367087:0.215828:0.293660:0.215828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.333585:0.231541:0.343470:0.231541:0.343470:0.216106:0.333585:0.216106:0.000000
,:@0.347796:0.231402:0.363129:0.231402:0.363129:0.217354:0.347796:0.217354:0.000000
R :@0.367436:0.230681:0.385255:0.230681:0.385255:0.217784:0.367436:0.217784:0.000000:0.000000
con     Ø Denotamos con :@0.385660:0.231541:0.600395:0.231541:0.600395:0.215828:0.385660:0.215828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.417725:0.231541:0.427610:0.231541:0.427610:0.216106:0.417725:0.216106:0.000000
±:@0.431935:0.232082:0.447269:0.232082:0.447269:0.216910:0.431935:0.216910:0.000000
 . :@0.463872:0.231125:0.477996:0.231125:0.477996:0.214136:0.463872:0.214136:0.000000:0.000000:0.000000
F A  :@0.600693:0.231541:0.629850:0.231541:0.629850:0.216106:0.600693:0.216106:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.608682:0.232123:0.626611:0.232123:0.626611:0.214469:0.608682:0.214469:0.000000:0.000000:0.000000
el conjunto de todas las funciones reales :@0.630126:0.231541:0.931057:0.231541:0.931057:0.215828:0.630126:0.215828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definidas en   Si :@0.293623:0.248183:0.420412:0.248183:0.420412:0.232470:0.293623:0.232470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A.:@0.386727:0.248183:0.399870:0.248183:0.399870:0.232747:0.386727:0.232747:0.000000:0.000000
f :@0.420689:0.248183:0.428622:0.248183:0.428622:0.232747:0.420689:0.232747:0.000000:0.000000
[:@0.428861:0.248044:0.444195:0.248044:0.444195:0.233996:0.428861:0.233996:0.000000
 :@0.444103:0.248183:0.448134:0.248183:0.448134:0.232470:0.444103:0.232470:0.000000
F A , :@0.448428:0.248183:0.480770:0.248183:0.480770:0.232747:0.448428:0.232747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.456399:0.248765:0.474291:0.248765:0.474291:0.231111:0.456399:0.231111:0.000000:0.000000:0.000000
se debe entender que :@0.481009:0.248183:0.646796:0.248183:0.646796:0.232470:0.481009:0.232470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom f    A, :@0.646951:0.248183:0.733686:0.248183:0.733686:0.232747:0.646951:0.232747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.682348:0.248765:0.695049:0.248765:0.695049:0.231111:0.682348:0.231111:0.000000:0.000000:0.000000
5:@0.698509:0.247628:0.713843:0.247628:0.713843:0.233912:0.698509:0.233912:0.000000
para cada :@0.733925:0.248183:0.808934:0.248183:0.808934:0.232470:0.733925:0.232470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.809174:0.248183:0.819868:0.248183:0.819868:0.232747:0.809174:0.232747:0.000000:0.000000
[ :@0.820108:0.248044:0.839951:0.248044:0.839951:0.233996:0.820108:0.233996:0.000000:0.000000
A, f x  :@0.840282:0.248183:0.880226:0.248183:0.880226:0.232747:0.840282:0.232747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.861542:0.248765:0.877004:0.248765:0.877004:0.231111:0.861542:0.231111:0.000000:0.000000:0.000000
[ :@0.880465:0.248044:0.900308:0.248044:0.900308:0.233996:0.880465:0.233996:0.000000:0.000000
R :@0.900639:0.247323:0.918439:0.247323:0.918439:0.234425:0.900639:0.234425:0.000000:0.000000
y :@0.918770:0.248183:0.930901:0.248183:0.930901:0.232470:0.918770:0.232470:0.000000:0.000000
Rec f    :@0.293623:0.264825:0.352214:0.264825:0.352214:0.249389:0.293623:0.249389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.317810:0.265407:0.330511:0.265407:0.330511:0.247753:0.317810:0.247753:0.000000:0.000000:0.000000
,:@0.333659:0.264686:0.348992:0.264686:0.348992:0.250637:0.333659:0.250637:0.000000
R:@0.352140:0.263965:0.365430:0.263965:0.365430:0.251067:0.352140:0.251067:0.000000
. :@0.365338:0.264825:0.372572:0.264825:0.372572:0.249112:0.365338:0.249112:0.000000:0.000000
Sean :@0.293605:0.290966:0.333707:0.290966:0.333707:0.275253:0.293605:0.275253:0.000000:0.000000:0.000000:0.000000:0.000000
f, g :@0.334506:0.290966:0.358656:0.290966:0.358656:0.275531:0.334506:0.275531:0.000000:0.000000:0.000000:0.000000:0.000000
[ :@0.359319:0.290827:0.379327:0.290827:0.379327:0.276779:0.359319:0.276779:0.000000:0.000000
F A .:@0.380248:0.290966:0.409939:0.290966:0.409939:0.275531:0.380248:0.275531:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.388347:0.291549:0.406533:0.291549:0.406533:0.273894:0.388347:0.273894:0.000000:0.000000:0.000000
 Recuerda que   y   son iguales, :@0.409994:0.290966:0.650387:0.290966:0.650387:0.275253:0.409994:0.275253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.522757:0.290966:0.554601:0.290966:0.554601:0.275531:0.522757:0.275531:0.000000:0.000000:0.000000
f   g:@0.651129:0.290966:0.688496:0.290966:0.688496:0.275531:0.651129:0.275531:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.659854:0.291673:0.675187:0.291673:0.675187:0.277958:0.659854:0.277958:0.000000
, si y solo si se verifica :@0.688551:0.290966:0.853727:0.290966:0.853727:0.275253:0.688551:0.275253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x    g x , :@0.854400:0.290966:0.930128:0.290966:0.930128:0.275531:0.854400:0.275531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.859149:0.291549:0.874906:0.291549:0.874906:0.273894:0.859149:0.273894:0.000000:0.000000:0.000000
5:@0.878956:0.290411:0.894289:0.290411:0.894289:0.276696:0.878956:0.276696:0.000000
S D:@0.907652:0.291549:0.923409:0.291549:0.923409:0.273894:0.907652:0.273894:0.000000:0.000000:0.000000
 :@0.926814:0.290966:0.930128:0.290966:0.930128:0.275531:0.926814:0.275531:0.000000
;:@0.293568:0.307053:0.305846:0.307053:0.305846:0.293338:0.293568:0.293338:0.000000
 x   A.:@0.305754:0.308870:0.350465:0.307622:0.350465:0.292186:0.305754:0.293435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.319099:0.308107:0.334432:0.308107:0.334432:0.294059:0.319099:0.294059:0.000000
 La función  0:@0.350410:0.307622:0.446956:0.307622:0.446956:0.291909:0.350410:0.291909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f    F A ,:@0.433353:0.307622:0.497189:0.308884:0.497189:0.293448:0.433353:0.292186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.449864:0.307483:0.465197:0.307483:0.465197:0.293435:0.449864:0.293435:0.000000
S D:@0.476058:0.309466:0.493949:0.309466:0.493949:0.291812:0.476058:0.291812:0.000000:0.000000:0.000000
 definida como  0:@0.497115:0.307622:0.623205:0.307622:0.623205:0.291909:0.497115:0.291909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f   x     ,   x   A, :@0.609602:0.307622:0.737974:0.308884:0.737974:0.293448:0.609602:0.292186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.626114:0.308204:0.641576:0.308204:0.641576:0.290550:0.626114:0.290550:0.000000:0.000000:0.000000
5:@0.644466:0.307067:0.659799:0.307067:0.659799:0.293351:0.644466:0.293351:0.000000
0:@0.662689:0.307622:0.671671:0.307622:0.671671:0.291909:0.662689:0.291909:0.000000
;:@0.680820:0.308329:0.693098:0.308329:0.693098:0.294613:0.680820:0.294613:0.000000
[:@0.703369:0.307483:0.718702:0.307483:0.718702:0.293435:0.703369:0.293435:0.000000
se denomina función cero :@0.737661:0.307622:0.930969:0.307622:0.930969:0.291909:0.737661:0.291909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o función nula.:@0.293550:0.324264:0.401655:0.324264:0.401655:0.308551:0.293550:0.308551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.1 Adición:@0.293550:0.350405:0.381461:0.350405:0.381461:0.333458:0.293550:0.333458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.293550:0.376547:0.371517:0.376547:0.371517:0.359877:0.293550:0.359877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean :@0.371412:0.376547:0.417607:0.376547:0.417607:0.360834:0.371412:0.360834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f,  g :@0.417099:0.376547:0.442748:0.376547:0.442748:0.361111:0.417099:0.361111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[ :@0.442361:0.376408:0.462204:0.376408:0.462204:0.362360:0.442361:0.362360:0.000000:0.000000
F A . :@0.461663:0.376547:0.494005:0.376547:0.494005:0.361111:0.461663:0.361111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.469633:0.377129:0.487525:0.377129:0.487525:0.359475:0.469633:0.359475:0.000000:0.000000:0.000000
La suma de   con   se nota :@0.493618:0.376547:0.688119:0.376553:0.688119:0.360840:0.493618:0.360834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.579249:0.376547:0.583943:0.376547:0.583943:0.361111:0.579249:0.361111:0.000000
g:@0.618742:0.376553:0.628001:0.376553:0.628001:0.361118:0.618742:0.361118:0.000000
 f   g:@0.687604:0.376553:0.725504:0.376553:0.725504:0.361118:0.687604:0.361118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.698078:0.377260:0.713411:0.377260:0.713411:0.363545:0.698078:0.363545:0.000000
  y es la función real definida :@0.725431:0.376553:0.931071:0.376553:0.931071:0.360840:0.725431:0.360840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en   como: :@0.293652:0.393195:0.379816:0.393195:0.379816:0.377482:0.293652:0.377482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.316237:0.393195:0.326122:0.393195:0.326122:0.377760:0.316237:0.377760:0.000000
S:@0.500807:0.419919:0.504893:0.419919:0.504893:0.402265:0.500807:0.402265:0.000000
f   g x    f x    g x ,     x :@0.504801:0.419336:0.686886:0.419336:0.686886:0.403901:0.504801:0.403901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.512680:0.418782:0.528013:0.418782:0.528013:0.405066:0.512680:0.405066:0.000000
DS D:@0.540364:0.419919:0.559821:0.419919:0.559821:0.402265:0.540364:0.402265:0.000000:0.000000:0.000000:0.000000
5:@0.562968:0.418782:0.578302:0.418782:0.578302:0.405066:0.562968:0.405066:0.000000
S D:@0.586088:0.419919:0.601550:0.419919:0.601550:0.402265:0.586088:0.402265:0.000000:0.000000:0.000000
1:@0.604698:0.418782:0.620031:0.418782:0.620031:0.405066:0.604698:0.405066:0.000000
S D:@0.632382:0.419919:0.647844:0.419919:0.647844:0.402265:0.632382:0.402265:0.000000:0.000000:0.000000
;:@0.660766:0.418782:0.673044:0.418782:0.673044:0.405066:0.660766:0.405066:0.000000
[ :@0.686831:0.419198:0.706674:0.419198:0.706674:0.405149:0.686831:0.405149:0.000000:0.000000
A.:@0.706582:0.419336:0.719724:0.419336:0.719724:0.403901:0.706582:0.403901:0.000000:0.000000
La operación adición “ ” en :@0.293633:0.445478:0.488099:0.445478:0.488099:0.429765:0.293633:0.429765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.444554:0.446185:0.459888:0.446185:0.459888:0.432470:0.444554:0.432470:0.000000
F A  :@0.487627:0.445478:0.515238:0.445478:0.515238:0.430043:0.487627:0.430043:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.495230:0.446060:0.512385:0.446060:0.512385:0.428406:0.495230:0.428406:0.000000:0.000000:0.000000
es la función que se define como sigue: :@0.514797:0.445478:0.790867:0.445478:0.790867:0.429765:0.514797:0.429765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.527275:0.477352:0.543305:0.477352:0.543305:0.463013:0.527275:0.463013:0.000000
 ::@0.543305:0.477932:0.550252:0.477932:0.550252:0.461795:0.543305:0.461795:0.000000:0.000000
  F A  x F A    F A  :@0.550252:0.469107:0.690061:0.469107:0.690061:0.452970:0.550252:0.452970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.572500:0.469716:0.591378:0.469716:0.591378:0.451259:0.572500:0.451259:0.000000:0.000000:0.000000
S D:@0.614509:0.469716:0.633388:0.469716:0.633388:0.451259:0.614509:0.451259:0.000000:0.000000:0.000000
→:@0.636852:0.468672:0.655845:0.468672:0.655845:0.450911:0.636852:0.450911:0.000000
S D:@0.667719:0.469716:0.686597:0.469716:0.686597:0.451259:0.667719:0.451259:0.000000:0.000000:0.000000
 :@0.527275:0.486505:0.530739:0.486505:0.530739:0.470368:0.527275:0.470368:0.000000
S:@0.564089:0.487114:0.568362:0.487114:0.568362:0.468657:0.564089:0.468657:0.000000
f, g    f   g.:@0.568362:0.486505:0.660232:0.486505:0.660232:0.470368:0.568362:0.470368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.589280:0.487114:0.593552:0.487114:0.593552:0.468657:0.589280:0.468657:0.000000
→:@0.597016:0.486070:0.616010:0.486070:0.616010:0.468309:0.597016:0.468309:0.000000
1:@0.627845:0.485925:0.643875:0.485925:0.643875:0.471586:0.627845:0.471586:0.000000
 :@0.693297:0.494197:0.697328:0.494197:0.697328:0.478484:0.693297:0.478484:0.000000
Intervienen los siguientes elementos:  :@0.323781:0.520345:0.588037:0.520345:0.588037:0.504632:0.323781:0.504632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x , g x  :@0.587520:0.520345:0.642006:0.520345:0.642006:0.504909:0.587520:0.504909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D S D:@0.592140:0.520927:0.638784:0.520927:0.638784:0.503273:0.592140:0.503273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[ :@0.642043:0.520206:0.661886:0.520206:0.661886:0.506158:0.642043:0.506158:0.000000:0.000000
R :@0.661941:0.519485:0.679741:0.519485:0.679741:0.506588:0.661941:0.506588:0.000000:0.000000
y la adición “ ” en  , con lo que se :@0.679796:0.520345:0.930981:0.520345:0.930981:0.504632:0.679796:0.504632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.764083:0.521052:0.779416:0.521052:0.779416:0.507336:0.764083:0.507336:0.000000
R:@0.808904:0.519485:0.822194:0.519485:0.822194:0.506588:0.808904:0.506588:0.000000
tiene :@0.323744:0.536987:0.365216:0.536987:0.365216:0.521274:0.323744:0.521274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x    g x  :@0.365823:0.536987:0.437648:0.536987:0.437648:0.521551:0.365823:0.521551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.370554:0.537569:0.386255:0.537569:0.386255:0.519915:0.370554:0.519915:0.000000:0.000000:0.000000
1:@0.390121:0.536432:0.405454:0.536432:0.405454:0.522716:0.390121:0.522716:0.000000
S D:@0.418597:0.537569:0.434298:0.537569:0.434298:0.519915:0.418597:0.519915:0.000000:0.000000:0.000000
[ :@0.438164:0.536848:0.458136:0.536848:0.458136:0.522799:0.438164:0.522799:0.000000:0.000000
R :@0.458854:0.536127:0.476782:0.536127:0.476782:0.523229:0.458854:0.523229:0.000000:0.000000
que es el valor de la :@0.477500:0.536987:0.629691:0.536987:0.629691:0.521274:0.477500:0.521274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función:@0.630262:0.536987:0.689091:0.536987:0.689091:0.520317:0.630262:0.520317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 o imagen de:@0.689110:0.536987:0.788196:0.536987:0.788196:0.521274:0.689110:0.521274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  f   g  :@0.788196:0.536987:0.840013:0.536987:0.840013:0.521551:0.788196:0.521551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.804376:0.537694:0.819709:0.537694:0.819709:0.523978:0.804376:0.523978:0.000000
en el punto :@0.840491:0.536987:0.930926:0.536987:0.930926:0.521274:0.840491:0.521274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.926876:0.536987:0.930908:0.536987:0.930908:0.521274:0.926876:0.521274:0.000000
x :@0.323744:0.553628:0.334439:0.553628:0.334439:0.538193:0.323744:0.538193:0.000000:0.000000
[ :@0.334384:0.553490:0.354227:0.553490:0.354227:0.539441:0.334384:0.539441:0.000000:0.000000
A.:@0.354135:0.553628:0.367277:0.553628:0.367277:0.538193:0.354135:0.538193:0.000000:0.000000
Ejercicios resueltos:@0.323744:0.579770:0.466754:0.579770:0.466754:0.563100:0.323744:0.563100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Sean :@0.323781:0.605925:0.393495:0.605925:0.393495:0.590213:0.323781:0.590213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A   :@0.393392:0.605925:0.425016:0.605925:0.425016:0.590490:0.393392:0.590490:0.000000:0.000000:0.000000:0.000000
5 2:@0.406461:0.605371:0.445448:0.605371:0.445448:0.591655:0.406461:0.591655:0.000000:0.000000:0.000000
[ 1,1] y :@0.425126:0.605925:0.486754:0.605925:0.486754:0.590213:0.425126:0.590213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  f , g :@0.471457:0.605925:0.513518:0.605925:0.513518:0.590490:0.471457:0.590490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[ :@0.513481:0.605787:0.533324:0.605787:0.533324:0.591738:0.513481:0.591738:0.000000:0.000000
F A:@0.533232:0.605925:0.555082:0.605925:0.555082:0.590490:0.533232:0.590490:0.000000:0.000000:0.000000
S D:@0.541203:0.606508:0.559094:0.606508:0.559094:0.588854:0.541203:0.588854:0.000000:0.000000:0.000000
 definidos como sigue::@0.559002:0.605925:0.723048:0.605925:0.723048:0.590213:0.559002:0.590213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.353895:0.632073:0.369978:0.632073:0.369978:0.616638:0.353895:0.616638:0.000000:0.000000:0.000000
S D:@0.358529:0.632656:0.373991:0.632656:0.373991:0.615002:0.358529:0.615002:0.000000:0.000000:0.000000
           1,  :@0.373899:0.632073:0.488208:0.632073:0.488208:0.616361:0.373899:0.616361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 1 | | 1:@0.377857:0.631519:0.464315:0.631519:0.464315:0.617803:0.377857:0.617803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.397055:0.632073:0.404510:0.632073:0.404510:0.616638:0.397055:0.616638:0.000000
x:@0.432618:0.632073:0.440073:0.632073:0.440073:0.616638:0.432618:0.616638:0.000000
g x:@0.488098:0.632073:0.508732:0.632073:0.508732:0.616638:0.488098:0.616638:0.000000:0.000000:0.000000
S D:@0.497283:0.632656:0.512745:0.632656:0.512745:0.615002:0.497283:0.615002:0.000000:0.000000:0.000000
   :@0.512653:0.632073:0.535883:0.632073:0.535883:0.616361:0.512653:0.616361:0.000000:0.000000:0.000000
5 2 2:@0.516610:0.631519:0.577723:0.631519:0.577723:0.617803:0.516610:0.617803:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.551050:0.632073:0.558505:0.632073:0.558505:0.616638:0.551050:0.616638:0.000000
  1, :@0.558432:0.632073:0.593700:0.632073:0.593700:0.616361:0.558432:0.616361:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.593608:0.632073:0.604303:0.632073:0.604303:0.616638:0.593608:0.616638:0.000000:0.000000
[:@0.604247:0.631935:0.619581:0.631935:0.619581:0.617886:0.604247:0.617886:0.000000
 :@0.619489:0.632073:0.623520:0.632073:0.623520:0.616361:0.619489:0.616361:0.000000
3:@0.623446:0.632656:0.627533:0.632656:0.627533:0.615002:0.623446:0.615002:0.000000
2:@0.627441:0.631519:0.642774:0.631519:0.642774:0.617803:0.627441:0.617803:0.000000
1,1 Calculemos algunos valores :@0.642682:0.632073:0.879460:0.632073:0.879460:0.616361:0.642682:0.616361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.663611:0.632656:0.667697:0.632656:0.667697:0.615002:0.663611:0.615002:0.000000
. :@0.667605:0.632073:0.674177:0.632073:0.674177:0.616638:0.667605:0.616638:0.000000:0.000000
f x  :@0.879215:0.632073:0.902611:0.632073:0.902611:0.616638:0.879215:0.616638:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.883835:0.632656:0.899297:0.632656:0.899297:0.615002:0.883835:0.615002:0.000000:0.000000:0.000000
para :@0.353909:0.648715:0.389950:0.648715:0.389950:0.633002:0.353909:0.633002:0.000000:0.000000:0.000000:0.000000:0.000000
x   :@0.389840:0.648715:0.419034:0.648715:0.419034:0.633280:0.389840:0.633280:0.000000:0.000000:0.000000:0.000000
[:@0.400479:0.648576:0.415812:0.648576:0.415812:0.634528:0.400479:0.634528:0.000000
[ 1,1]:@0.418960:0.648715:0.464997:0.648715:0.464997:0.633002:0.418960:0.633002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.423764:0.648160:0.439098:0.648160:0.439098:0.634445:0.423764:0.634445:0.000000
::@0.464923:0.648715:0.468255:0.648715:0.468255:0.633280:0.464923:0.633280:0.000000
f:@0.353907:0.677465:0.358601:0.677465:0.358601:0.662030:0.353907:0.662030:0.000000
S:@0.358529:0.678048:0.362615:0.678048:0.362615:0.660393:0.358529:0.660393:0.000000
2 5 2 1|2 |1 5:@0.362523:0.676910:0.530839:0.676910:0.530839:0.663195:0.362523:0.663195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1     1:@0.377765:0.677465:0.438048:0.677465:0.438048:0.661752:0.377765:0.661752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.386674:0.678048:0.390760:0.678048:0.390760:0.660393:0.386674:0.660393:0.000000
1:@0.473482:0.677465:0.482465:0.677465:0.482465:0.661752:0.473482:0.661752:0.000000
1   1, f:@0.502658:0.677465:0.555523:0.677465:0.555523:0.661752:0.502658:0.661752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.555413:0.678048:0.559499:0.678048:0.559499:0.660393:0.555413:0.660393:0.000000
2 5 2 1 2 1 5 :@0.559407:0.676910:0.732539:0.676910:0.732539:0.663195:0.559407:0.663195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.575996:0.668874:0.583345:0.668874:0.583345:0.656019:0.575996:0.656019:0.000000
2 :@0.575996:0.682740:0.586643:0.682740:0.586643:0.669884:0.575996:0.669884:0.000000:0.000000
2   :@0.584634:0.678048:0.612981:0.678048:0.612981:0.660393:0.584634:0.660393:0.000000:0.000000:0.000000:0.000000
1:@0.629509:0.668874:0.636858:0.668874:0.636858:0.656019:0.629509:0.656019:0.000000
2 :@0.629509:0.682740:0.640157:0.682740:0.640157:0.669884:0.629509:0.669884:0.000000:0.000000
U:@0.653386:0.678048:0.656460:0.678048:0.656460:0.660393:0.653386:0.660393:0.000000
1:@0.672988:0.668874:0.680338:0.668874:0.680338:0.656019:0.672988:0.656019:0.000000
2 :@0.672988:0.682740:0.683636:0.682740:0.683636:0.669884:0.672988:0.669884:0.000000:0.000000
U:@0.681625:0.678048:0.684699:0.678048:0.684699:0.660393:0.681625:0.660393:0.000000
1 :@0.699848:0.677465:0.712788:0.677465:0.712788:0.661752:0.699848:0.661752:0.000000:0.000000
1:@0.732447:0.677465:0.741430:0.677465:0.741430:0.661752:0.732447:0.661752:0.000000
 :@0.293660:0.711005:0.297691:0.711005:0.297691:0.695292:0.293660:0.695292:0.000000
f:@0.353902:0.711005:0.358596:0.711005:0.358596:0.695569:0.353902:0.695569:0.000000
S D:@0.358522:0.711587:0.375512:0.711587:0.375512:0.693933:0.358522:0.693933:0.000000:0.000000:0.000000
0    0:@0.362517:0.711005:0.407559:0.711005:0.407559:0.695292:0.362517:0.695292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 1| |1 5:@0.379378:0.710450:0.485091:0.710450:0.485091:0.696734:0.379378:0.696734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.427734:0.711005:0.436716:0.711005:0.436716:0.695292:0.427734:0.695292:0.000000
1   1, :@0.456909:0.711005:0.505026:0.711005:0.505026:0.695292:0.456909:0.695292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.504915:0.711005:0.509609:0.711005:0.509609:0.695569:0.504915:0.695569:0.000000
1 2   :@0.509535:0.711587:0.551901:0.711587:0.551901:0.693933:0.509535:0.693933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.514917:0.702414:0.522267:0.702414:0.522267:0.689558:0.514917:0.689558:0.000000
2 :@0.514917:0.716280:0.525565:0.716280:0.525565:0.703424:0.514917:0.703424:0.000000:0.000000
5 1 1 5 :@0.532057:0.710450:0.640978:0.710450:0.640978:0.696734:0.532057:0.696734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.553187:0.702414:0.560537:0.702414:0.560537:0.689558:0.553187:0.689558:0.000000
2 :@0.553187:0.716280:0.563835:0.716280:0.563835:0.703424:0.553187:0.703424:0.000000:0.000000
U U:@0.577067:0.711587:0.593138:0.711587:0.593138:0.693933:0.577067:0.693933:0.000000:0.000000:0.000000
1:@0.581427:0.702414:0.588777:0.702414:0.588777:0.689558:0.581427:0.689558:0.000000
2 :@0.581427:0.716280:0.592075:0.716280:0.592075:0.703424:0.581427:0.703424:0.000000:0.000000
1 :@0.608287:0.711005:0.621227:0.711005:0.621227:0.695292:0.608287:0.695292:0.000000:0.000000
2   1    1:@0.640886:0.711005:0.711349:0.711005:0.711349:0.695292:0.640886:0.695292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.657692:0.711005:0.662386:0.711005:0.662386:0.695569:0.657692:0.695569:0.000000
S D:@0.662312:0.711587:0.679302:0.711587:0.679302:0.693933:0.662312:0.693933:0.000000:0.000000:0.000000
5 1| |1 5:@0.683168:0.710450:0.788881:0.710450:0.788881:0.696734:0.683168:0.696734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.731524:0.711005:0.740506:0.711005:0.740506:0.695292:0.731524:0.695292:0.000000
1   3:@0.760699:0.711005:0.801729:0.711005:0.801729:0.695292:0.760699:0.695292:0.000000:0.000000:0.000000:0.000000:0.000000
Sea:@0.353907:0.741942:0.379596:0.741942:0.379596:0.726229:0.353907:0.726229:0.000000:0.000000:0.000000
x   :@0.383528:0.741942:0.412722:0.741942:0.412722:0.726507:0.383528:0.726507:0.000000:0.000000:0.000000:0.000000
[:@0.394167:0.741803:0.409500:0.741803:0.409500:0.727755:0.394167:0.727755:0.000000
[ 1,1] Si  1:@0.412648:0.741942:0.508771:0.741942:0.508771:0.726229:0.412648:0.726229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.417452:0.741387:0.432785:0.741387:0.432785:0.727672:0.417452:0.727672:0.000000
. :@0.458611:0.741942:0.465182:0.741942:0.465182:0.726507:0.458611:0.726507:0.000000:0.000000
2 # #:@0.481307:0.741387:0.556390:0.741387:0.556390:0.727672:0.481307:0.727672:0.000000:0.000000:0.000000:0.000000:0.000000
     x    , :@0.496548:0.741942:0.575018:0.741942:0.575018:0.726507:0.496548:0.726507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 se tiene::@0.559538:0.741942:0.634658:0.741942:0.634658:0.726229:0.559538:0.726229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x    x   |x|       x   x   :@0.353907:0.768090:0.549780:0.768090:0.549780:0.752655:0.353907:0.752655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.358529:0.768672:0.373991:0.768672:0.373991:0.751018:0.358529:0.751018:0.000000:0.000000:0.000000
5 1:@0.377139:0.767535:0.421592:0.767535:0.421592:0.753820:0.377139:0.753820:0.000000:0.000000:0.000000
1 5 2 1 5:@0.442356:0.767535:0.577888:0.767535:0.577888:0.753820:0.442356:0.753820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.460836:0.768090:0.469819:0.768090:0.469819:0.752377:0.460836:0.752377:0.000000
1   1   :@0.549707:0.768090:0.605352:0.768090:0.605352:0.752377:0.549707:0.752377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.590644:0.768090:0.597289:0.768090:0.597289:0.752655:0.590644:0.752655:0.000000:0.000000
 :@0.293660:0.794238:0.297691:0.794238:0.297691:0.778525:0.293660:0.778525:0.000000
y si  0:@0.353907:0.794238:0.393354:0.794238:0.393354:0.778525:0.353907:0.778525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   x   :@0.393225:0.794238:0.444139:0.794238:0.444139:0.778803:0.393225:0.778803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
# #:@0.396465:0.793683:0.440918:0.793683:0.440918:0.779967:0.396465:0.779967:0.000000:0.000000:0.000000
1,  :@0.444066:0.794238:0.464093:0.794238:0.464093:0.778525:0.444066:0.778525:0.000000:0.000000:0.000000:0.000000
f x    x   |x|       x   x   :@0.463982:0.794238:0.659854:0.794238:0.659854:0.778803:0.463982:0.778803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.468603:0.794820:0.484065:0.794820:0.484065:0.777166:0.468603:0.777166:0.000000:0.000000:0.000000
5 1:@0.487212:0.793683:0.531666:0.793683:0.531666:0.779967:0.487212:0.779967:0.000000:0.000000:0.000000
1 5 1 1 5:@0.552429:0.793683:0.687962:0.793683:0.687962:0.779967:0.552429:0.779967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.570910:0.794238:0.579893:0.794238:0.579893:0.778525:0.570910:0.778525:0.000000
1   2:@0.659780:0.794238:0.700810:0.794238:0.700810:0.778525:0.659780:0.778525:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.700718:0.794238:0.711413:0.794238:0.711413:0.778803:0.700718:0.778803:0.000000:0.000000
1:@0.711358:0.793683:0.726691:0.793683:0.726691:0.779967:0.711358:0.779967:0.000000
 1.:@0.726599:0.794238:0.742668:0.794238:0.742668:0.778525:0.726599:0.778525:0.000000:0.000000:0.000000
 :@0.293660:0.820386:0.297691:0.820386:0.297691:0.804673:0.293660:0.804673:0.000000
Por otro lado, obtenemos algunos valores de:@0.353907:0.820386:0.678282:0.820386:0.678282:0.804673:0.353907:0.804673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  g x ,  x    :@0.677932:0.820386:0.751174:0.820386:0.751174:0.804950:0.677932:0.804950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.693615:0.820968:0.709077:0.820968:0.709077:0.803314:0.693615:0.803314:0.000000:0.000000:0.000000
[:@0.732620:0.820247:0.747953:0.820247:0.747953:0.806199:0.732620:0.806199:0.000000
3:@0.751100:0.820968:0.755187:0.820968:0.755187:0.803314:0.751100:0.803314:0.000000
2:@0.755095:0.819831:0.770428:0.819831:0.770428:0.806115:0.755095:0.806115:0.000000
1 1:@0.770336:0.820386:0.784307:0.820386:0.784307:0.804673:0.770336:0.804673:0.000000:0.000000:0.000000
, ::@0.775656:0.820386:0.791560:0.820386:0.791560:0.804950:0.775656:0.804950:0.000000:0.000000:0.000000
4:@0.784234:0.820968:0.788320:0.820968:0.788320:0.803314:0.784234:0.803314:0.000000
g:@0.496933:0.846527:0.506192:0.846527:0.506192:0.831092:0.496933:0.831092:0.000000
S:@0.506118:0.847110:0.510205:0.847110:0.510205:0.829455:0.506118:0.829455:0.000000
2 5:@0.510113:0.845973:0.553241:0.845973:0.553241:0.832257:0.510113:0.832257:0.000000:0.000000:0.000000
1:@0.525354:0.846527:0.530747:0.846527:0.530747:0.830815:0.525354:0.830815:0.000000
D:@0.530674:0.847110:0.534760:0.847110:0.534760:0.829455:0.530674:0.829455:0.000000
    ,  g    :@0.534668:0.846527:0.622949:0.846527:0.622949:0.831092:0.534668:0.831092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.556389:0.846527:0.565371:0.846527:0.565371:0.830815:0.556389:0.830815:0.000000
S D:@0.584257:0.847110:0.601247:0.847110:0.601247:0.829455:0.584257:0.829455:0.000000:0.000000:0.000000
0:@0.588251:0.846527:0.597234:0.846527:0.597234:0.830815:0.588251:0.830815:0.000000
5 2:@0.604395:0.845973:0.638209:0.845973:0.638209:0.832257:0.604395:0.832257:0.000000:0.000000:0.000000
1:@0.638117:0.846527:0.643510:0.846527:0.643510:0.830815:0.638117:0.830815:0.000000
,  g    :@0.643436:0.846527:0.697499:0.846527:0.697499:0.831092:0.643436:0.831092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.662396:0.847110:0.675796:0.847110:0.675796:0.829455:0.662396:0.829455:0.000000:0.000000:0.000000
1:@0.666390:0.846527:0.671784:0.846527:0.671784:0.830815:0.666390:0.830815:0.000000
5 2:@0.678944:0.845973:0.712758:0.845973:0.712758:0.832257:0.678944:0.832257:0.000000:0.000000:0.000000
2:@0.712666:0.846527:0.720360:0.846527:0.720360:0.830815:0.712666:0.830815:0.000000
.:@0.720287:0.846527:0.723618:0.846527:0.723618:0.831092:0.720287:0.831092:0.000000
 :@0.293658:0.872683:0.297690:0.872683:0.297690:0.856970:0.293658:0.856970:0.000000
La función :@0.353905:0.872683:0.434014:0.872683:0.434014:0.856970:0.353905:0.856970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f   g :@0.433858:0.872683:0.472716:0.872683:0.472716:0.857247:0.433858:0.857247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.441736:0.873390:0.457070:0.873390:0.457070:0.859674:0.441736:0.859674:0.000000
está definida en [ 1,1] como sigue: :@0.472661:0.872683:0.734283:0.872683:0.734283:0.856970:0.472661:0.856970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.596505:0.872128:0.611838:0.872128:0.611838:0.858412:0.596505:0.858412:0.000000
 :@0.293658:0.906211:0.297690:0.906211:0.297690:0.890498:0.293658:0.890498:0.000000
S:@0.353900:0.906793:0.357987:0.906793:0.357987:0.889139:0.353900:0.889139:0.000000
f   g x    f  x    g x    x   |x|       x       |x| :@0.357895:0.906211:0.699062:0.906211:0.699062:0.890775:0.357895:0.890775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.365773:0.905656:0.381106:0.905656:0.381106:0.891940:0.365773:0.891940:0.000000
DS D:@0.393458:0.906793:0.412914:0.906793:0.412914:0.889139:0.393458:0.889139:0.000000:0.000000:0.000000:0.000000
5:@0.416062:0.905656:0.431395:0.905656:0.431395:0.891940:0.416062:0.891940:0.000000
S D:@0.442421:0.906793:0.457883:0.906793:0.457883:0.889139:0.442421:0.889139:0.000000:0.000000:0.000000
1:@0.461031:0.905656:0.476364:0.905656:0.476364:0.891940:0.461031:0.891940:0.000000
S D:@0.488715:0.906793:0.504177:0.906793:0.504177:0.889139:0.488715:0.889139:0.000000:0.000000:0.000000
5 1:@0.507325:0.905656:0.551778:0.905656:0.551778:0.891940:0.507325:0.891940:0.000000:0.000000:0.000000
1 2 2 5:@0.572542:0.905656:0.678255:0.905656:0.678255:0.891940:0.572542:0.891940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.591023:0.906211:0.600005:0.906211:0.600005:0.890498:0.591023:0.890498:0.000000
1:@0.650773:0.906211:0.659755:0.906211:0.659755:0.890498:0.650773:0.890498:0.000000
5 :@0.699018:0.905656:0.718861:0.905656:0.718861:0.891940:0.699018:0.891940:0.000000:0.000000
5:@0.719097:0.909449:0.724205:0.909449:0.724205:0.880347:0.719097:0.880347:0.000000
 :@0.725004:0.906211:0.728317:0.906211:0.728317:0.890775:0.725004:0.890775:0.000000
x, si :@0.728252:0.895994:0.756695:0.895994:0.756695:0.879857:0.728252:0.879857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 # ,:@0.756656:0.895414:0.828013:0.895414:0.828013:0.881075:0.756656:0.881075:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.772590:0.895994:0.778229:0.895994:0.778229:0.879567:0.772590:0.879567:0.000000
   x    , :@0.778152:0.895994:0.847565:0.895994:0.847565:0.879857:0.778152:0.879857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.831303:0.895994:0.840694:0.895994:0.840694:0.879567:0.831303:0.879567:0.000000
2:@0.728233:0.912812:0.744263:0.912812:0.744263:0.898473:0.728233:0.898473:0.000000
x, si     x    .:@0.744167:0.913392:0.844081:0.913392:0.844081:0.897255:0.744167:0.897255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.772571:0.913392:0.781962:0.913392:0.781962:0.896965:0.772571:0.896965:0.000000
# #:@0.785272:0.912812:0.831746:0.912812:0.831746:0.898473:0.785272:0.898473:0.000000:0.000000:0.000000
1:@0.835037:0.913392:0.840675:0.913392:0.840675:0.896965:0.835037:0.896965:0.000000
 :@0.293658:0.940721:0.297690:0.940721:0.297690:0.925009:0.293658:0.925009:0.000000
En la Figura 6.1. constan las gráficas de las funciones  :@0.353905:0.940721:0.738122:0.940721:0.738122:0.925009:0.353905:0.925009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f, g   f   g.:@0.737655:0.940721:0.818426:0.940721:0.818426:0.925286:0.737655:0.925286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y  :@0.763885:0.940721:0.779899:0.940721:0.779899:0.925009:0.763885:0.925009:0.000000:0.000000:0.000000
1:@0.787686:0.941429:0.803019:0.941429:0.803019:0.927713:0.787686:0.927713:0.000000
Tema 6. :@0.073089:0.098522:0.190427:0.098522:0.190427:0.067710:0.073089:0.067710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Álgebra de funciones:@0.190424:0.098522:0.505723:0.098522:0.505723:0.067281:0.190424:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es el dominio de una función?:@0.307891:0.176432:0.559167:0.176432:0.559167:0.161434:0.307891:0.161434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función. :@0.085307:0.551089:0.146378:0.549885:0.145852:0.534736:0.084781:0.535940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Relación entre :@0.146110:0.549889:0.242101:0.547995:0.241605:0.533716:0.145614:0.535610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos conjuntos que asigna :@0.085829:0.566213:0.255207:0.562871:0.254710:0.548592:0.085332:0.551933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a cada elemento del :@0.086354:0.581337:0.221413:0.578672:0.220916:0.564392:0.085858:0.567057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primero un elemento del :@0.086880:0.596460:0.252737:0.593188:0.252240:0.578909:0.086384:0.582181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo o ninguno.:@0.087406:0.611584:0.218834:0.608991:0.218338:0.594712:0.086910:0.597305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.137493:0.525632:0.197112:0.525632:0.197112:0.510226:0.137493:0.510226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f, g:@0.082576:0.324836:0.099567:0.324836:0.099567:0.310804:0.082576:0.310804:0.000000:0.000000:0.000000:0.000000
   :@0.099185:0.324836:0.119628:0.324836:0.119628:0.310552:0.099185:0.310552:0.000000:0.000000:0.000000
[:@0.102442:0.324710:0.116381:0.324710:0.116381:0.311939:0.102442:0.311939:0.000000
F A:@0.119226:0.324836:0.138420:0.324836:0.138420:0.310804:0.119226:0.310804:0.000000:0.000000:0.000000
S D:@0.126137:0.325366:0.141733:0.325366:0.141733:0.309316:0.126137:0.309316:0.000000:0.000000:0.000000
   :@0.141315:0.324836:0.164340:0.324836:0.164340:0.310552:0.141315:0.310552:0.000000:0.000000:0.000000
⇒:@0.144578:0.324458:0.161094:0.324458:0.161094:0.309014:0.144578:0.309014:0.000000
f   g    F A , :@0.163939:0.324836:0.244089:0.324836:0.244089:0.310804:0.163939:0.310804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.170432:0.324332:0.184371:0.324332:0.184371:0.311863:0.170432:0.311863:0.000000
[:@0.199812:0.324710:0.213751:0.324710:0.213751:0.311939:0.199812:0.311939:0.000000
S D:@0.222871:0.325366:0.238467:0.325366:0.238467:0.309316:0.222871:0.309316:0.000000:0.000000:0.000000
que se conoce como :@0.082574:0.339965:0.225314:0.339965:0.225314:0.325681:0.082574:0.325681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedad clausurativa. :@0.082574:0.355094:0.239864:0.355094:0.239864:0.340810:0.082574:0.340810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El grafo o gráfico de :@0.082574:0.370223:0.217295:0.370223:0.217295:0.355939:0.082574:0.355939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la función  :@0.082574:0.385352:0.155048:0.385352:0.155048:0.371068:0.082574:0.371068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f   g  :@0.154898:0.385352:0.193168:0.385352:0.193168:0.371320:0.154898:0.371320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.162060:0.386108:0.175999:0.386108:0.175999:0.373639:0.162060:0.373639:0.000000
es el :@0.193135:0.385352:0.226218:0.385352:0.226218:0.371068:0.193135:0.371068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto:@0.082574:0.400481:0.142843:0.400481:0.142843:0.386196:0.082574:0.386196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G f   g:@0.082574:0.415610:0.128425:0.415610:0.128425:0.401578:0.082574:0.401578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.092414:0.416139:0.096129:0.416139:0.096129:0.400090:0.092414:0.400090:0.000000
1:@0.103207:0.415105:0.117146:0.415105:0.117146:0.402637:0.103207:0.402637:0.000000
D:@0.128375:0.416139:0.132090:0.416139:0.132090:0.400090:0.128375:0.400090:0.000000
   {:@0.132006:0.415610:0.157492:0.415610:0.157492:0.401325:0.132006:0.401325:0.000000:0.000000:0.000000:0.000000
5:@0.135604:0.415105:0.149543:0.415105:0.149543:0.402637:0.135604:0.402637:0.000000
S:@0.157408:0.416139:0.161123:0.416139:0.161123:0.400090:0.157408:0.400090:0.000000
x, f x    g x  | :@0.161039:0.415610:0.246934:0.415610:0.246934:0.401578:0.161039:0.401578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D:@0.177890:0.416139:0.191947:0.416139:0.191947:0.400090:0.177890:0.400090:0.000000:0.000000:0.000000
1:@0.194808:0.415105:0.208747:0.415105:0.208747:0.402637:0.194808:0.402637:0.000000
S DD:@0.219976:0.416139:0.237664:0.416139:0.237664:0.400090:0.219976:0.400090:0.000000:0.000000:0.000000:0.000000
x:@0.082574:0.430739:0.089351:0.430739:0.089351:0.416706:0.082574:0.416706:0.000000
[:@0.089293:0.430613:0.103232:0.430613:0.103232:0.417841:0.089293:0.417841:0.000000
A:@0.103148:0.430739:0.112938:0.430739:0.112938:0.416454:0.103148:0.416454:0.000000
}.:@0.113038:0.430739:0.120602:0.430739:0.120602:0.416706:0.113038:0.416706:0.000000:0.000000
Competencia :@0.078581:0.281553:0.187141:0.281553:0.187141:0.264606:0.078581:0.264606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.298195:0.176057:0.298195:0.176057:0.281248:0.078581:0.281248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2:@0.110291:0.848755:0.121118:0.848755:0.121118:0.839041:0.110291:0.839041:0.000000:0.000000
–1:@0.145270:0.848755:0.156097:0.848755:0.156097:0.839041:0.145270:0.839041:0.000000:0.000000
1:@0.218170:0.848755:0.223090:0.848755:0.223090:0.839041:0.218170:0.839041:0.000000
3:@0.174674:0.760910:0.179594:0.760910:0.179594:0.751197:0.174674:0.751197:0.000000
2:@0.174674:0.787263:0.179594:0.787263:0.179594:0.777550:0.174674:0.777550:0.000000
1:@0.174674:0.813617:0.179594:0.813617:0.179594:0.803903:0.174674:0.803903:0.000000
–1:@0.168634:0.866315:0.179460:0.866315:0.179460:0.856602:0.168634:0.856602:0.000000:0.000000
–2:@0.168634:0.892669:0.179460:0.892669:0.179460:0.882955:0.168634:0.882955:0.000000:0.000000
2:@0.253138:0.848763:0.258057:0.848763:0.258057:0.839050:0.253138:0.839050:0.000000
x:@0.285710:0.845966:0.290185:0.845966:0.290185:0.836253:0.285710:0.836253:0.000000
y:@0.174044:0.734880:0.178663:0.734880:0.178663:0.725167:0.174044:0.725167:0.000000
0:@0.177020:0.845966:0.181939:0.845966:0.181939:0.836253:0.177020:0.836253:0.000000
y = f(x):@0.208279:0.792623:0.238327:0.792623:0.238327:0.782910:0.208279:0.782910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = g(x):@0.211699:0.877414:0.243546:0.877414:0.243546:0.867701:0.211699:0.867701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = f + g:@0.212832:0.827845:0.247344:0.827845:0.247344:0.818131:0.212832:0.818131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura  6.1:@0.075067:0.940006:0.129325:0.940006:0.129325:0.928578:0.075067:0.928578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000