﻿72:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.676915:0.236739:0.676915:0.236739:0.642967:0.175844:0.642967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.4.3.1. Representa como pares ordenados el producto cartesiano de dos conjuntos e identifica las relaciones reflexivas, simétricas, :@0.256865:0.659659:0.877745:0.659659:0.877745:0.649230:0.256865:0.649230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transitivas y de equivalencia de un subconjunto de dicho producto. (I.4.):@0.256865:0.670221:0.592162:0.670221:0.592162:0.659791:0.256865:0.659791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.714380:0.133950:0.714380:0.133950:0.697244:0.115209:0.697244:0.000000:0.000000:0.000000
Escribe:@0.148452:0.714380:0.203201:0.714380:0.203201:0.697756:0.148452:0.697756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 verdadero (V) o falso (F), según corresponda.:@0.203201:0.714380:0.534491:0.714380:0.534491:0.697991:0.203201:0.697991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.148452:0.738099:0.167175:0.738099:0.167175:0.721198:0.148452:0.721198:0.000000:0.000000:0.000000
Toda relación es una función. :@0.181696:0.738099:0.398902:0.738099:0.398902:0.721710:0.181696:0.721710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.737476:0.879369:0.737476:0.879369:0.724067:0.828861:0.724067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.148451:0.758264:0.168481:0.758264:0.168481:0.741364:0.148451:0.741364:0.000000:0.000000:0.000000
Si sobran elementos en el conjunto de salida, una relación ya no puede ser función. :@0.181694:0.758264:0.796145:0.758264:0.796145:0.741875:0.181694:0.741875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.757636:0.879369:0.757636:0.879369:0.744227:0.828861:0.744227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.148451:0.778425:0.166086:0.778425:0.166086:0.761525:0.148451:0.761525:0.000000:0.000000:0.000000
Una función es un subconjunto del producto cartesiano. :@0.181694:0.778425:0.599559:0.778425:0.599559:0.762036:0.181694:0.762036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.777797:0.879369:0.777797:0.879369:0.764387:0.828861:0.764387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.148451:0.798585:0.168518:0.798585:0.168518:0.781684:0.148451:0.781684:0.000000:0.000000:0.000000
Una función se la puede graficar en el plano cartesiano. :@0.181694:0.798585:0.591082:0.798585:0.591082:0.782196:0.181694:0.782196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.797956:0.879369:0.797956:0.879369:0.784547:0.828861:0.784547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e) :@0.148451:0.818746:0.167320:0.818746:0.167320:0.801845:0.148451:0.801845:0.000000:0.000000:0.000000
Toda función es una relación. :@0.181694:0.818746:0.398901:0.818746:0.398901:0.802357:0.181694:0.802357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.818117:0.879369:0.818117:0.879369:0.804708:0.828861:0.804708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f) :@0.148451:0.838906:0.165275:0.838906:0.165275:0.822006:0.148451:0.822006:0.000000:0.000000:0.000000
Si sobran elementos en el conjunto de llegada, una relación ya no puede ser función. :@0.181694:0.838906:0.808289:0.838906:0.808289:0.822518:0.181694:0.822518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.838278:0.879369:0.838278:0.879369:0.824869:0.828861:0.824869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g) :@0.148451:0.859066:0.168371:0.859066:0.168371:0.842165:0.148451:0.842165:0.000000:0.000000:0.000000
Si de un elemento del conjunto de salida salen dos flechas esa relación sí puede ser función. :@0.181694:0.859066:0.826846:0.859066:0.826846:0.842677:0.181694:0.842677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.858437:0.879369:0.858437:0.879369:0.845028:0.828861:0.845028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h) :@0.148451:0.879227:0.168352:0.879227:0.168352:0.862326:0.148451:0.862326:0.000000:0.000000:0.000000
Una relación es función cuando el dominio es igual al conjunto de salida y cada :@0.181694:0.879227:0.819530:0.879227:0.819530:0.862838:0.181694:0.862838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elemento del dominio tiene una sola imagen. :@0.181676:0.895823:0.519804:0.895823:0.519804:0.879434:0.181676:0.879434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.895195:0.879369:0.895195:0.879369:0.881785:0.828861:0.881785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i) :@0.148451:0.915984:0.162529:0.915984:0.162529:0.899083:0.148451:0.899083:0.000000:0.000000:0.000000
Dos o más elementos del dominio pueden tener la misma imagen. :@0.181694:0.915984:0.675463:0.915984:0.675463:0.899595:0.181694:0.899595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.915355:0.879369:0.915355:0.879369:0.901946:0.828861:0.901946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función es una relación especial, que cumple dos condiciones::@0.115209:0.167757:0.605915:0.167757:0.605915:0.151368:0.115209:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1) :@0.115209:0.187921:0.134945:0.187921:0.134945:0.170785:0.115209:0.170785:0.000000:0.000000:0.000000
En el conjunto de salida no sobran elementos.:@0.148452:0.187921:0.486413:0.187921:0.486413:0.171532:0.148452:0.171532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2) :@0.115209:0.211640:0.134945:0.211640:0.134945:0.194504:0.115209:0.194504:0.000000:0.000000:0.000000
A cada elemento del conjunto de salida le corresponde solo un elemento del conjunto de llegada.:@0.148452:0.211640:0.868805:0.211640:0.868805:0.195251:0.148452:0.195251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando el valor de una variable   depende del valor de una variable  , se dice que   está en función de  .  :@0.115209:0.235359:0.883844:0.235359:0.883844:0.218970:0.115209:0.218970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.349719:0.235359:0.357845:0.235359:0.357845:0.218721:0.349719:0.218721:0.000000
x:@0.614911:0.235359:0.623038:0.235359:0.623038:0.218721:0.614911:0.218721:0.000000
y:@0.717203:0.235359:0.725329:0.235359:0.725329:0.218721:0.717203:0.218721:0.000000
x:@0.868475:0.235359:0.876602:0.235359:0.876602:0.218721:0.868475:0.218721:0.000000
Esto se representa como   =   ( ), y se lee “  es igual a   de  ”.:@0.115209:0.251956:0.551037:0.251956:0.551037:0.235567:0.115209:0.235567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.299188:0.251956:0.306670:0.251956:0.306670:0.235594:0.299188:0.235594:0.000000
f x:@0.325724:0.251956:0.346805:0.251956:0.346805:0.235594:0.325724:0.235594:0.000000:0.000000:0.000000
y:@0.420514:0.251956:0.428641:0.251956:0.428641:0.235318:0.420514:0.235318:0.000000
f:@0.504894:0.251956:0.509593:0.251956:0.509593:0.235594:0.504894:0.235594:0.000000
x:@0.536627:0.251956:0.544753:0.251956:0.544753:0.235318:0.536627:0.235318:0.000000
x :@0.115209:0.272120:0.126689:0.272120:0.126689:0.255482:0.115209:0.255482:0.000000:0.000000
es la variable independiente, mientras que   es la variable dependiente.:@0.126689:0.272120:0.649255:0.272120:0.649255:0.255731:0.126689:0.255731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.441227:0.272120:0.449353:0.272120:0.449353:0.255482:0.441227:0.255482:0.000000
Actividad resuelta:@0.115209:0.301234:0.272331:0.301234:0.272331:0.282797:0.115209:0.282797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analicemos resolvamos:@0.115209:0.321079:0.307833:0.321079:0.307833:0.304455:0.115209:0.304455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.204362:0.321079:0.220541:0.321079:0.220541:0.304691:0.204362:0.304691:0.000000:0.000000:0.000000
 la siguiente situación.:@0.307833:0.321079:0.469460:0.321079:0.469460:0.304691:0.307833:0.304691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si en una urbanización se venden terrenos cuadrados de 10 m, 15 m y 20 m de lado, :@0.115209:0.341244:0.735721:0.341244:0.735721:0.324855:0.115209:0.324855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresamos:@0.735758:0.341244:0.827990:0.341244:0.827990:0.324620:0.735758:0.324620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el área :@0.827990:0.341244:0.883918:0.341244:0.883918:0.324855:0.827990:0.324855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los terrenos como función de la longitud del lado y :@0.115209:0.357840:0.516244:0.357840:0.516244:0.341452:0.115209:0.341452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hallamos:@0.516244:0.357840:0.585716:0.357840:0.585716:0.341216:0.516244:0.341216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las áreas.:@0.585716:0.357840:0.653714:0.357840:0.653714:0.341452:0.585716:0.341452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean::@0.115209:0.378005:0.154239:0.378005:0.154239:0.361616:0.115209:0.361616:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.115209:0.398170:0.122672:0.398170:0.122672:0.381808:0.115209:0.381808:0.000000
 : medida del lado del terreno cuadrado en metros (variable independiente).:@0.122672:0.398170:0.678166:0.398170:0.678166:0.381781:0.122672:0.381781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.115209:0.418334:0.122691:0.418334:0.122691:0.401973:0.115209:0.401973:0.000000
 : área del terreno en metros cuadrados (variable dependiente).:@0.122691:0.418334:0.582895:0.418334:0.582895:0.401945:0.122691:0.401945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.115209:0.438499:0.122691:0.438499:0.122691:0.422138:0.115209:0.422138:0.000000
 =   ( ) =    El área depende de la longitud del lado del terreno, es lado al cuadrado.:@0.122691:0.438499:0.732038:0.438479:0.732038:0.422090:0.122691:0.422110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.141745:0.438499:0.162826:0.438499:0.162826:0.422138:0.141745:0.422138:0.000000:0.000000:0.000000
x:@0.186763:0.438499:0.194227:0.438499:0.194227:0.422138:0.186763:0.422138:0.000000
2:@0.194225:0.432431:0.199467:0.432431:0.199467:0.422877:0.194225:0.422877:0.000000
21:@0.048475:0.122645:0.082036:0.122645:0.082036:0.065614:0.048475:0.065614:0.000000:0.000000
Funciones:@0.115891:0.141978:0.258169:0.141978:0.258169:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.44. Definir y reconocer funciones de manera algebraica y de manera gráfica, con diagramas de Venn, determinando su dominio y recorrido en :@0.125388:0.075029:0.815144:0.075029:0.815144:0.064600:0.125388:0.064600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.817081:0.075580:0.825070:0.075580:0.825070:0.064694:0.817081:0.064694:0.000000
.:@0.827119:0.075029:0.829159:0.075029:0.829159:0.064600:0.827119:0.064600:0.000000
x m:@0.175469:0.467382:0.206243:0.467382:0.206243:0.451829:0.175469:0.451829:0.000000:0.000000:0.000000
 ( ):@0.183811:0.467382:0.211285:0.467382:0.211285:0.452017:0.183811:0.452017:0.000000:0.000000:0.000000:0.000000
y m:@0.328066:0.467382:0.358824:0.467382:0.358824:0.451829:0.328066:0.451829:0.000000:0.000000:0.000000
 (:@0.336392:0.467382:0.344903:0.467382:0.344903:0.452017:0.336392:0.452017:0.000000:0.000000
2:@0.358822:0.461884:0.364057:0.461884:0.364057:0.452927:0.358822:0.452927:0.000000
):@0.364057:0.467382:0.369100:0.467382:0.369100:0.452017:0.364057:0.452017:0.000000
100 m:@0.466403:0.547824:0.508317:0.547824:0.508317:0.532925:0.466403:0.532925:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.508315:0.542326:0.513082:0.542326:0.513082:0.533640:0.508315:0.533640:0.000000
10 m:@0.472872:0.577847:0.506612:0.577847:0.506612:0.562948:0.472872:0.562948:0.000000:0.000000:0.000000:0.000000
15 m:@0.593774:0.577847:0.627514:0.577847:0.627514:0.562948:0.593774:0.562948:0.000000:0.000000:0.000000:0.000000
20 m:@0.756859:0.577847:0.790598:0.577847:0.790598:0.562948:0.756859:0.562948:0.000000:0.000000:0.000000:0.000000
225 m:@0.587291:0.532307:0.629206:0.532307:0.629206:0.517408:0.587291:0.517408:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.629223:0.526811:0.633989:0.526811:0.633989:0.518125:0.629223:0.518125:0.000000
400 m:@0.750399:0.515673:0.792314:0.515673:0.792314:0.500774:0.750399:0.500774:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.792314:0.510176:0.797080:0.510176:0.797080:0.501490:0.792314:0.501490:0.000000
El área del terreno está en función de la medida de su lado.:@0.456639:0.615150:0.849024:0.615150:0.849024:0.600251:0.456639:0.600251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.185200:0.502634:0.201551:0.502634:0.201551:0.487735:0.185200:0.487735:0.000000:0.000000
100:@0.336324:0.502634:0.360849:0.502634:0.360849:0.487735:0.336324:0.487735:0.000000:0.000000:0.000000
15:@0.185200:0.552649:0.201551:0.552649:0.201551:0.537750:0.185200:0.537750:0.000000:0.000000
225:@0.336324:0.552649:0.360849:0.552649:0.360849:0.537750:0.336324:0.537750:0.000000:0.000000:0.000000
20:@0.185200:0.602665:0.201551:0.602665:0.201551:0.587766:0.185200:0.587766:0.000000:0.000000
400:@0.336324:0.602665:0.360849:0.602665:0.360849:0.587766:0.336324:0.587766:0.000000:0.000000:0.000000
F:@0.850252:0.736937:0.858766:0.736937:0.858766:0.720548:0.850252:0.720548:0.000000
V:@0.849828:0.757060:0.859208:0.757060:0.859208:0.740671:0.849828:0.740671:0.000000
V:@0.849828:0.777183:0.859208:0.777183:0.859208:0.760794:0.849828:0.760794:0.000000
V:@0.849828:0.797306:0.859208:0.797306:0.859208:0.780917:0.849828:0.780917:0.000000
V:@0.849828:0.817429:0.859208:0.817429:0.859208:0.801040:0.849828:0.801040:0.000000
F:@0.850252:0.837552:0.858766:0.837552:0.858766:0.821163:0.850252:0.821163:0.000000
F:@0.850252:0.857675:0.858766:0.857675:0.858766:0.841286:0.850252:0.841286:0.000000
V:@0.849828:0.895391:0.859208:0.895391:0.859208:0.879002:0.849828:0.879002:0.000000
V:@0.849828:0.915514:0.859208:0.915514:0.859208:0.899125:0.849828:0.899125:0.000000