32:@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
Digital:@0.097965:0.094939:0.189447:0.094939:0.189447:0.068807:0.097965:0.068807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.752416:0.083901:0.796060:0.083901:0.796060:0.063650:0.752416:0.063650:0.000000:0.000000:0.000000
Participación:@0.721987:0.098360:0.826490:0.098360:0.826490:0.081459:0.721987:0.081459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Introducción:@0.069054:0.189000:0.179097:0.189000:0.179097:0.170306:0.069054:0.170306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.061931:0.385859:0.214872:0.385859:0.214872:0.367166:0.061931:0.367166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Le pediremos al ChatGPT que nos ayude a determinar el dominio y recorrido de la función  ( ) = 2  + 1:@0.073220:0.409207:0.828492:0.409207:0.828492:0.392819:0.073220:0.392819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.737769:0.409207:0.754814:0.409207:0.754814:0.392846:0.737769:0.392846:0.000000:0.000000:0.000000
x:@0.787744:0.409207:0.795207:0.409207:0.795207:0.392846:0.787744:0.392846:0.000000
3:@0.795204:0.403160:0.800446:0.403160:0.800446:0.393605:0.795204:0.393605:0.000000
b):@0.072609:0.540914:0.088825:0.540914:0.088825:0.524013:0.072609:0.524013:0.000000:0.000000
  Damos «enter» y :@0.088826:0.540914:0.226867:0.540914:0.226867:0.524525:0.088826:0.524525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enseguida aparece :@0.101098:0.557510:0.244077:0.557510:0.244077:0.541121:0.101098:0.541121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la respuesta.:@0.101098:0.574106:0.191486:0.574106:0.191486:0.557717:0.101098:0.557717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.072609:0.437394:0.087517:0.437394:0.087517:0.420493:0.072609:0.420493:0.000000:0.000000
  Escribimos el :@0.087517:0.437394:0.200902:0.437394:0.200902:0.421005:0.087517:0.421005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problema en una :@0.101098:0.453990:0.231732:0.453990:0.231732:0.437601:0.101098:0.437601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma clara en el :@0.101098:0.470586:0.226572:0.470586:0.226572:0.454197:0.101098:0.454197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadro de diálogo.:@0.101098:0.487183:0.238217:0.487183:0.238217:0.470794:0.101098:0.470794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.072609:0.836412:0.086430:0.836412:0.086430:0.819511:0.072609:0.819511:0.000000:0.000000
  Si queremos realizar :@0.086430:0.836412:0.241277:0.836412:0.241277:0.820023:0.086430:0.820023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otra pregunta relativa :@0.101098:0.853008:0.251672:0.853008:0.251672:0.836619:0.101098:0.836619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al problema, la escri-:@0.101098:0.869605:0.239969:0.869605:0.239969:0.853216:0.101098:0.853216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bimos en el cuadro :@0.101098:0.886201:0.236726:0.886201:0.236726:0.869812:0.101098:0.869812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de diálogo.:@0.101098:0.902797:0.177223:0.902797:0.177223:0.886409:0.101098:0.886409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ChatGPT es como un amigo virtual al que :@0.073217:0.317554:0.411033:0.317554:0.411033:0.301165:0.073217:0.301165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
le puedes escribir preguntas o temas y él te :@0.073217:0.334150:0.411031:0.334150:0.411031:0.317761:0.073217:0.317761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contesta.:@0.073217:0.350747:0.139778:0.350747:0.139778:0.334358:0.073217:0.334358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Características/elementos de esta IA:@0.061931:0.294949:0.384459:0.294949:0.384459:0.276255:0.061931:0.276255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ChatGPT es un modelo de lenguaje desarrollado por OpenAI, basado en la arquitectura GPT (Generative Pre-trained :@0.073220:0.210047:0.907583:0.210047:0.907583:0.193658:0.073220:0.193658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Transformer). Se trata de un sistema de inteligencia artificial (IA) diseñado para comprender y generar lenguaje :@0.073220:0.226644:0.907603:0.226644:0.907603:0.210255:0.073220:0.210255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
natural, lo que le permite interactuar con los usuarios por medio de conversaciones de texto, para realizar tareas :@0.073220:0.243240:0.907767:0.243240:0.907767:0.226851:0.073220:0.226851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como responder preguntas, resolver problemas, traducir idiomas, resumir información, entre otras funciones.:@0.073220:0.259836:0.867536:0.259836:0.867536:0.243447:0.073220:0.243447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Funciones matemáticas mediante la IA ChatGPT:@0.071428:0.151975:0.692637:0.151975:0.692637:0.124319:0.071428:0.124319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Con qué puedo ayudarte?:@0.605508:0.317000:0.779827:0.317000:0.779827:0.303172:0.605508:0.303172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pregunta lo que quieras:@0.493560:0.336700:0.636371:0.336700:0.636371:0.323291:0.493560:0.323291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.496259:0.362456:0.507242:0.362456:0.507242:0.345555:0.496259:0.345555:0.000000
...:@0.703461:0.359783:0.713080:0.359783:0.713080:0.343394:0.703461:0.343394:0.000000:0.000000:0.000000
Buscar:@0.553130:0.361881:0.588028:0.361881:0.588028:0.349962:0.553130:0.349962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Razona:@0.634320:0.361881:0.673052:0.361881:0.673052:0.349962:0.634320:0.349962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Halla el dominio y recorrido de la función f(x) = 2xˆ3 + 1:@0.334484:0.454875:0.667641:0.454875:0.667641:0.441466:0.334484:0.441466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.337178:0.489432:0.348161:0.489432:0.348161:0.472531:0.337178:0.472531:0.000000
...:@0.544378:0.486759:0.553998:0.486759:0.553998:0.470370:0.544378:0.470370:0.000000:0.000000:0.000000
Buscar:@0.394047:0.488856:0.428946:0.488856:0.428946:0.476937:0.394047:0.476937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Razona:@0.475240:0.488856:0.513971:0.488856:0.513971:0.476937:0.475240:0.476937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Es la función sobreyectiva?:@0.334484:0.853891:0.500405:0.853891:0.500405:0.840482:0.334484:0.840482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.337178:0.888448:0.348161:0.888448:0.348161:0.871547:0.337178:0.871547:0.000000
...:@0.544378:0.885775:0.553998:0.885775:0.553998:0.869386:0.544378:0.869386:0.000000:0.000000:0.000000
Buscar:@0.394047:0.887873:0.428946:0.887873:0.428946:0.875954:0.394047:0.875954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Razona:@0.475240:0.887873:0.513971:0.887873:0.513971:0.875954:0.475240:0.875954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para hallar el dominio y recorrido de la función  ( ) = 2  + 1::@0.334484:0.547552:0.693429:0.547552:0.693429:0.534143:0.334484:0.534143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.616575:0.547552:0.630521:0.547552:0.630521:0.534166:0.616575:0.534166:0.000000:0.000000:0.000000
x:@0.657464:0.547552:0.663570:0.547552:0.663570:0.534166:0.657464:0.534166:0.000000
3:@0.663568:0.542604:0.667858:0.542604:0.667858:0.534787:0.663568:0.534787:0.000000
Dominio::@0.334488:0.566472:0.394480:0.566472:0.394480:0.552644:0.334488:0.552644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 El dominio de una función es el conjunto de todos los valores de   para los cuales :@0.394480:0.566472:0.895117:0.566472:0.895117:0.553063:0.394480:0.553063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.793753:0.566472:0.799859:0.566472:0.799859:0.553085:0.793753:0.553085:0.000000
la función está definida. En este caso, no hay restricciones sobre   (como dividir entre cero o :@0.334488:0.580051:0.895160:0.580051:0.895160:0.566642:0.334488:0.566642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.724502:0.580051:0.730608:0.580051:0.730608:0.566664:0.724502:0.566664:0.000000
raíces cuadradas de números negativos). Por lo tanto, el dominio es el conjunto de todos los :@0.334488:0.593630:0.895070:0.593630:0.895070:0.580221:0.334488:0.580221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales.:@0.334488:0.607208:0.428492:0.607208:0.428492:0.593799:0.334488:0.593799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dominio::@0.334488:0.626128:0.394480:0.626128:0.394480:0.612301:0.334488:0.612301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Dominio = (–∞, ∞):@0.394480:0.626128:0.508944:0.626128:0.508944:0.612719:0.394480:0.612719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recorrido::@0.334488:0.645048:0.401445:0.645048:0.401445:0.631220:0.334488:0.631220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 El recorrido es el conjunto de todos los posibles valores de  ( ) cuando   toma :@0.401445:0.645048:0.895073:0.645048:0.895073:0.631639:0.401445:0.631639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.775767:0.645048:0.789714:0.645048:0.789714:0.631662:0.775767:0.631662:0.000000:0.000000:0.000000
x:@0.849118:0.645048:0.855224:0.645048:0.855224:0.631662:0.849118:0.631662:0.000000
cualquier valor del dominio.:@0.334488:0.658627:0.501615:0.658627:0.501615:0.645218:0.334488:0.645218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función  ( ) = 2  + 1 es una función cúbica, y sabemos que una función cúbica tiene un :@0.334488:0.677547:0.895004:0.677567:0.895004:0.664158:0.334488:0.664138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.402184:0.677547:0.416130:0.677547:0.416130:0.664160:0.402184:0.664160:0.000000:0.000000:0.000000
x:@0.444551:0.677547:0.450657:0.677547:0.450657:0.664160:0.444551:0.664160:0.000000
3:@0.450674:0.672619:0.454963:0.672619:0.454963:0.664802:0.450674:0.664802:0.000000
recorrido de todos los números reales, porque   puede tomar cualquier valor real, y multiplicar :@0.334481:0.691146:0.895081:0.691146:0.895081:0.677737:0.334481:0.677737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.608671:0.691146:0.614777:0.691146:0.614777:0.677759:0.608671:0.677759:0.000000
3:@0.614621:0.686198:0.618911:0.686198:0.618911:0.678381:0.614621:0.678381:0.000000
por 2 y sumar 1 no cambia eso.:@0.334483:0.704725:0.520652:0.704725:0.520652:0.691316:0.334483:0.691316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recorrido::@0.334483:0.723645:0.401440:0.723645:0.401440:0.709817:0.334483:0.709817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Recorrido = (–∞, ∞):@0.401440:0.723645:0.521513:0.723645:0.521513:0.710235:0.401440:0.710235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En resumen::@0.334483:0.742564:0.408481:0.742564:0.408481:0.729155:0.334483:0.729155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.334483:0.761484:0.341509:0.761484:0.341509:0.748075:0.334483:0.748075:0.000000:0.000000
Dominio::@0.351233:0.761484:0.411225:0.761484:0.411225:0.747657:0.351233:0.747657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (–∞, ∞):@0.411225:0.761484:0.457482:0.761484:0.457482:0.748075:0.411225:0.748075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.334483:0.780404:0.341509:0.780404:0.341509:0.766995:0.334483:0.766995:0.000000:0.000000
Recorrido::@0.351233:0.780404:0.418191:0.780404:0.418191:0.766576:0.351233:0.766576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (–∞, ∞):@0.418191:0.780404:0.464448:0.780404:0.464448:0.766995:0.418191:0.766995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000