﻿28:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
Función inversa. Características:@0.287495:0.495623:0.603902:0.495623:0.603902:0.474113:0.287495:0.474113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como has visto en los temas anteriores, muchas veces usamos funciones para des-:@0.287495:0.518404:0.903587:0.518404:0.903587:0.502015:0.287495:0.502015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cribir relaciones entre dos cantidades; por ejemplo, cómo cambia el precio según la :@0.287495:0.535000:0.907641:0.535000:0.907641:0.518612:0.287495:0.518612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cantidad, o cómo varía la velocidad de acuerdo con el tiempo. Pero en algunas situa-:@0.287495:0.551597:0.903679:0.551597:0.903679:0.535208:0.287495:0.535208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones, necesitamos hacer el proceso inverso: si conocemos el resultado, queremos :@0.287495:0.568193:0.907604:0.568193:0.907604:0.551804:0.287495:0.551804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
saber cuál fue el valor original que lo generó. En este caso, es necesario aplicar una :@0.287495:0.584790:0.907724:0.584790:0.907724:0.568401:0.287495:0.568401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
herramienta a la que llamaremos función inversa.:@0.287495:0.601386:0.647437:0.601386:0.647437:0.584997:0.287495:0.584997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si tenemos dos conjuntos   y   no vacíos, y una función biyectiva   de   en  , la función :@0.287495:0.625105:0.907659:0.625105:0.907659:0.608716:0.287495:0.608716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.475310:0.625105:0.508609:0.625105:0.508609:0.608744:0.475310:0.608744:0.000000:0.000000:0.000000
f:@0.753162:0.625105:0.757861:0.625105:0.757861:0.608744:0.753162:0.608744:0.000000
A:@0.783070:0.625105:0.792966:0.625105:0.792966:0.608744:0.783070:0.608744:0.000000
B:@0.818064:0.625105:0.826909:0.625105:0.826909:0.608744:0.818064:0.608744:0.000000
inversa   de   en   se define mediante la relación::@0.287459:0.641701:0.655716:0.641706:0.655716:0.625317:0.287459:0.625312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.342852:0.641701:0.347551:0.641701:0.347551:0.625340:0.342852:0.625340:0.000000
-1:@0.347586:0.635659:0.356030:0.635659:0.356030:0.626104:0.347586:0.626104:0.000000:0.000000
B:@0.383064:0.641706:0.391910:0.641706:0.391910:0.625345:0.383064:0.625345:0.000000
A:@0.418796:0.641706:0.428691:0.641706:0.428691:0.625345:0.418796:0.625345:0.000000
xA yB yf x:@0.291421:0.666689:0.420174:0.666689:0.420174:0.650328:0.291421:0.650328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x f:@0.453805:0.666689:0.483746:0.666689:0.483746:0.650328:0.453805:0.650328:0.000000:0.000000:0.000000
y:@0.505178:0.666689:0.512659:0.666689:0.512659:0.650328:0.505178:0.650328:0.000000
∈:@0.301577:0.667367:0.314716:0.667367:0.314716:0.651794:0.301577:0.651794:0.000000
∈:@0.343353:0.667367:0.356492:0.667367:0.356492:0.651794:0.343353:0.651794:0.000000
=:@0.385810:0.667367:0.395927:0.667367:0.395927:0.651794:0.385810:0.651794:0.000000
⇔ =:@0.429834:0.667367:0.476124:0.667367:0.476124:0.651794:0.429834:0.651794:0.000000:0.000000:0.000000
−:@0.487268:0.659419:0.493131:0.659419:0.493131:0.650394:0.487268:0.650394:0.000000
,:@0.326654:0.666689:0.329861:0.666689:0.329861:0.650300:0.326654:0.650300:0.000000
,:@0.367066:0.666689:0.370272:0.666689:0.370272:0.650300:0.367066:0.650300:0.000000
():@0.406077:0.666689:0.426882:0.666689:0.426882:0.650300:0.406077:0.650300:0.000000:0.000000
():@0.498261:0.666689:0.519323:0.666689:0.519323:0.650300:0.498261:0.650300:0.000000:0.000000
1:@0.493077:0.659027:0.498289:0.659027:0.498289:0.649528:0.493077:0.649528:0.000000
El Dom( ) es   y el Rec( ) es  . En  ( ), el Dom( ) es   y el Rec( ) es  .:@0.287495:0.696699:0.812469:0.696699:0.812469:0.680310:0.287495:0.680310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f :@0.345782:0.696699:0.353798:0.696699:0.353798:0.680338:0.345782:0.680338:0.000000:0.000000
A:@0.382564:0.696699:0.392459:0.696699:0.392459:0.680338:0.382564:0.680338:0.000000
f :@0.456954:0.696699:0.464970:0.696699:0.464970:0.680338:0.456954:0.680338:0.000000:0.000000
B:@0.493736:0.696699:0.502581:0.696699:0.502581:0.680338:0.493736:0.680338:0.000000
f y:@0.532323:0.696699:0.562349:0.696699:0.562349:0.680338:0.532323:0.680338:0.000000:0.000000:0.000000
 –1:@0.537017:0.690652:0.549985:0.690652:0.549985:0.681097:0.537017:0.681097:0.000000:0.000000:0.000000
f:@0.633164:0.696699:0.637863:0.696699:0.637863:0.680338:0.633164:0.680338:0.000000
 –1:@0.637863:0.690652:0.650831:0.690652:0.650831:0.681097:0.637863:0.681097:0.000000:0.000000:0.000000
B:@0.679597:0.696699:0.688442:0.696699:0.688442:0.680338:0.679597:0.680338:0.000000
f:@0.752939:0.696699:0.757638:0.696699:0.757638:0.680338:0.752939:0.680338:0.000000
 –1:@0.757635:0.690652:0.770602:0.690652:0.770602:0.681097:0.757635:0.681097:0.000000:0.000000:0.000000
A:@0.799367:0.696699:0.809262:0.696699:0.809262:0.680338:0.799367:0.680338:0.000000
La relación de  ( ) con la función inversa  ( ) es: (:@0.287502:0.720418:0.650123:0.720423:0.650123:0.704034:0.287502:0.704029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.393387:0.720418:0.410433:0.720418:0.410433:0.704057:0.393387:0.704057:0.000000:0.000000:0.000000
f x:@0.583266:0.720418:0.613268:0.720423:0.613268:0.704062:0.583266:0.704057:0.000000:0.000000:0.000000
 –1:@0.587953:0.714376:0.600920:0.714376:0.600920:0.704821:0.587953:0.704821:0.000000:0.000000:0.000000
fof:@0.650123:0.720423:0.668735:0.720423:0.668735:0.704062:0.650123:0.704062:0.000000:0.000000:0.000000
 –1:@0.668733:0.714376:0.681700:0.714376:0.681700:0.704821:0.668733:0.704821:0.000000:0.000000:0.000000
)( ) =     (:@0.681699:0.720423:0.752498:0.720423:0.752498:0.704034:0.681699:0.704034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.691466:0.720423:0.698929:0.720423:0.698929:0.704062:0.691466:0.704062:0.000000
x o f of  x:@0.722867:0.720423:0.804623:0.720423:0.804623:0.704062:0.722867:0.704062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 –1:@0.757197:0.714376:0.770165:0.714376:0.770165:0.704821:0.757197:0.704821:0.000000:0.000000:0.000000
)( ) =  .:@0.787394:0.720423:0.839231:0.720423:0.839231:0.704034:0.787394:0.704034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.828561:0.720423:0.836024:0.720423:0.836024:0.704062:0.828561:0.704062:0.000000
Para determinar la función inversa de una función biyectiva, se aplican estos pasos::@0.287489:0.744142:0.892295:0.744142:0.892295:0.727753:0.287489:0.727753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.287489:0.767861:0.301715:0.767861:0.301715:0.750961:0.287489:0.750961:0.000000:0.000000
  Igualamos la función dada a  ;:@0.301715:0.767861:0.536612:0.767861:0.536612:0.751472:0.301715:0.751472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.525924:0.767861:0.533406:0.767861:0.533406:0.751500:0.525924:0.751500:0.000000
2.:@0.287489:0.788026:0.301715:0.788026:0.301715:0.771125:0.287489:0.771125:0.000000:0.000000
  Despejamos la variable  ;:@0.301715:0.788026:0.499554:0.788026:0.499554:0.771637:0.301715:0.771637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.488884:0.788026:0.496348:0.788026:0.496348:0.771665:0.488884:0.771665:0.000000
3.:@0.287489:0.808191:0.301715:0.808191:0.301715:0.791290:0.287489:0.791290:0.000000:0.000000
  La expresión obtenida es  ( ) =  ;:@0.301715:0.808191:0.567423:0.808193:0.567423:0.791804:0.301715:0.791802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f y:@0.502760:0.808191:0.532797:0.808193:0.532797:0.791832:0.502760:0.791829:0.000000:0.000000:0.000000
 –1:@0.507464:0.802146:0.520432:0.802146:0.520432:0.792591:0.507464:0.792591:0.000000:0.000000:0.000000
y:@0.556735:0.808193:0.564217:0.808193:0.564217:0.791832:0.556735:0.791832:0.000000
4.:@0.287489:0.828358:0.301715:0.828358:0.301715:0.811457:0.287489:0.811457:0.000000:0.000000
  Hacemos un cambio de variable y obtenemos  ( ).:@0.301715:0.828358:0.696045:0.828354:0.696045:0.811965:0.301715:0.811969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.657940:0.828358:0.687955:0.828354:0.687955:0.811993:0.657940:0.811996:0.000000:0.000000:0.000000
 –1:@0.662640:0.822307:0.675607:0.822307:0.675607:0.812752:0.662640:0.812752:0.000000:0.000000:0.000000
5.:@0.287504:0.848518:0.301730:0.848518:0.301730:0.831618:0.287504:0.831618:0.000000:0.000000
  Gráficamente, la función inversa es el reflejo de la función original respecto a la :@0.301730:0.848518:0.907719:0.848518:0.907719:0.832130:0.301730:0.832130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta   =  , es decir es simétrica a la recta   =  .:@0.315993:0.865115:0.655205:0.865115:0.655205:0.848726:0.315993:0.848726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.356681:0.865115:0.364163:0.865115:0.364163:0.848754:0.356681:0.848754:0.000000
x:@0.383217:0.865115:0.390680:0.865115:0.390680:0.848754:0.383217:0.848754:0.000000
y:@0.618000:0.865115:0.625481:0.865115:0.625481:0.848754:0.618000:0.848754:0.000000
x:@0.644536:0.865115:0.651999:0.865115:0.651999:0.848754:0.644536:0.848754:0.000000
6.:@0.287504:0.885279:0.301730:0.885279:0.301730:0.868379:0.287504:0.868379:0.000000:0.000000
  Cuando una función no es biyectiva en todo su dominio original, es posible res-:@0.301730:0.885279:0.903676:0.885279:0.903676:0.868891:0.301730:0.868891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tringir su dominio para hacerla inyectiva (y por tanto invertible en esa región). :@0.315974:0.901876:0.907719:0.901876:0.907719:0.885487:0.315974:0.885487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es el caso de la función cuadrática.:@0.315974:0.918472:0.568765:0.918472:0.568765:0.902083:0.315974:0.902083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.464495:0.480398:0.464495:0.480398:0.449131:0.306727:0.449131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.465281:0.297460:0.465281:0.297460:0.448145:0.284892:0.448145:0.000000
Pienso y progreso:@0.294883:0.412502:0.417347:0.412502:0.417347:0.397137:0.294883:0.397137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Por qué consideras que es importante la conversión de unidades de temperatura?:@0.294883:0.431154:0.847302:0.431154:0.847302:0.416255:0.294883:0.416255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen distintos sistemas para medir la temperatura. La escala Celsius (°C) se usa en la :@0.287495:0.168345:0.907615:0.168345:0.907615:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayoría de los países, mientras que en Estados Unidos se emplea la escala Fahrenheit :@0.287495:0.184941:0.907694:0.184941:0.907694:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(°F). Aunque ambas miden lo mismo, sus puntos de referencia difieren; por ejemplo, :@0.287495:0.201538:0.907678:0.201538:0.907678:0.185149:0.287495:0.185149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el agua se congela a 0 °C y a 32 °F. Al viajar o consultar información internacional, es :@0.287495:0.218134:0.907714:0.218134:0.907714:0.201745:0.287495:0.201745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
común encontrar temperaturas en escalas diferentes, por lo que es útil saber cómo :@0.287495:0.234731:0.907657:0.234731:0.907657:0.218342:0.287495:0.218342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
convertir las medidas de una escala a la otra.:@0.287495:0.251327:0.612651:0.251327:0.612651:0.234938:0.287495:0.234938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El factor de conversión consiste básicamente en la siguiente función::@0.287495:0.275046:0.790894:0.275046:0.790894:0.258657:0.287495:0.258657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fx:@0.290008:0.307576:0.313338:0.307576:0.313338:0.291215:0.290008:0.291215:0.000000:0.000000
x:@0.351004:0.307576:0.358467:0.307576:0.358467:0.291215:0.351004:0.291215:0.000000
():@0.299222:0.307576:0.320027:0.307576:0.320027:0.291187:0.299222:0.291187:0.000000:0.000000
=:@0.322989:0.308254:0.333106:0.308254:0.333106:0.292681:0.322989:0.292681:0.000000
+:@0.362571:0.308254:0.372688:0.308254:0.372688:0.292681:0.362571:0.292681:0.000000
9:@0.337491:0.298808:0.346484:0.298808:0.346484:0.282419:0.337491:0.282419:0.000000
5:@0.337915:0.318419:0.346908:0.318419:0.346908:0.302030:0.337915:0.302030:0.000000
32:@0.375288:0.307576:0.393181:0.307576:0.393181:0.291187:0.375288:0.291187:0.000000:0.000000
En donde   es la temperatura en grados Celsius.:@0.287495:0.345130:0.637081:0.345130:0.637081:0.328741:0.287495:0.328741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.362699:0.345130:0.370162:0.345130:0.370162:0.328769:0.362699:0.328769:0.000000
¿Es biyectiva la función que convierte grados Celsius a Fahrenheit?, ¿cuál es la función :@0.287495:0.368849:0.907748:0.368849:0.907748:0.352460:0.287495:0.352460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que transfoma de grados Fahrenheit a Celsius?:@0.287495:0.385446:0.628088:0.385446:0.628088:0.369057:0.287495:0.369057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función inversa:@0.286308:0.075160:0.519270:0.075160:0.519270:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
Las funciones :@0.154465:0.560393:0.248663:0.560393:0.248663:0.545494:0.154465:0.545494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas contribuyen :@0.073869:0.575480:0.248660:0.575480:0.248660:0.560581:0.073869:0.560581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a modelar el crecimiento :@0.079096:0.590568:0.248662:0.590568:0.248662:0.575669:0.079096:0.575669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la población, el :@0.123573:0.605656:0.248663:0.605656:0.248663:0.590757:0.123573:0.590757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consumo de recursos :@0.101678:0.620743:0.248662:0.620743:0.248662:0.605844:0.101678:0.605844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturales o la emisión de :@0.078895:0.635831:0.248663:0.635831:0.248663:0.620932:0.078895:0.620932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gases contaminantes a lo :@0.076197:0.650919:0.248662:0.650919:0.248662:0.636020:0.076197:0.636020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
largo del tiempo. Gracias :@0.080101:0.666006:0.248662:0.666006:0.248662:0.651107:0.080101:0.651107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a estas representaciones, :@0.079531:0.681094:0.248660:0.681094:0.248660:0.666195:0.079531:0.666195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es posible predecir :@0.119167:0.696181:0.248662:0.696181:0.248662:0.681282:0.119167:0.681282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escenarios futuros, evaluar :@0.069295:0.711269:0.248678:0.711269:0.248678:0.696370:0.069295:0.696370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el impacto de ciertas :@0.105849:0.726357:0.248660:0.726357:0.248660:0.711458:0.105849:0.711458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decisiones y diseñar :@0.111545:0.741444:0.248663:0.741444:0.248663:0.726545:0.111545:0.726545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estrategias más eficaces :@0.085512:0.756532:0.248662:0.756532:0.248662:0.741633:0.085512:0.741633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para cuidar el :@0.155051:0.771619:0.248663:0.771619:0.248663:0.756720:0.155051:0.756720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medioambiente.:@0.134496:0.786707:0.244993:0.786707:0.244993:0.771808:0.134496:0.771808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y tú…¿qué haces para :@0.101495:0.899247:0.248010:0.899247:0.248010:0.884373:0.101495:0.884373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuidar el medioambiente?:@0.080086:0.914334:0.244993:0.914334:0.244993:0.899461:0.080086:0.899461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desarrollo :@0.141374:0.520754:0.223234:0.520754:0.223234:0.503853:0.141374:0.503853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sostenible:@0.143265:0.534584:0.221080:0.534584:0.221080:0.517684:0.143265:0.517684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.067471:0.855033:0.067471:0.812207:0.055560:0.812207:0.055560:0.855033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Te han medido la :@0.123831:0.183091:0.248905:0.183091:0.248905:0.168192:0.123831:0.168192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
temperatura de tu :@0.123128:0.198178:0.248905:0.198178:0.248905:0.183279:0.123128:0.183279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuerpo? :@0.191142:0.213266:0.248905:0.213266:0.248905:0.198367:0.191142:0.198367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.109592:0.154214:0.228827:0.154214:0.228827:0.137314:0.109592:0.137314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Medir la temperatura es :@0.072616:0.392875:0.218878:0.392875:0.218878:0.379466:0.072616:0.379466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamental en nuestra vida :@0.072616:0.405447:0.248732:0.405447:0.248732:0.392038:0.072616:0.392038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diaria, ya que nos permite :@0.072616:0.418019:0.230757:0.418019:0.230757:0.404610:0.072616:0.404610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocer el estado del clima, :@0.072616:0.430590:0.243229:0.430590:0.243229:0.417181:0.072616:0.417181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
controlar procesos en la :@0.072616:0.443162:0.219467:0.443162:0.219467:0.429753:0.072616:0.429753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cocina, medicina, industria y :@0.072616:0.455734:0.245338:0.455734:0.245338:0.442325:0.072616:0.442325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciencia. :@0.072616:0.468306:0.120531:0.468306:0.120531:0.454897:0.072616:0.454897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.070380:0.334336:0.070380:0.291511:0.058469:0.291511:0.058469:0.334336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.23. :@0.298180:0.946788:0.353423:0.946788:0.353423:0.934496:0.298180:0.934496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular la función inversa (de funciones biyectivas) comprobando con la composición de funciones. :@0.354508:0.946788:0.906547:0.946788:0.906547:0.934868:0.354508:0.934868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(desagregada):@0.298180:0.958103:0.374343:0.958103:0.374343:0.946184:0.298180:0.946184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000