228:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000
Tema 4:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Funciones:@0.305293:0.083059:0.437761:0.083059:0.437761:0.055403:0.305293:0.055403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es el conjunto solución de una relación entre   = {1, 2, 3} y   = {0, 5, 7, 9} :@0.310262:0.164796:0.899909:0.164796:0.899909:0.149126:0.310262:0.149126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.695031:0.164796:0.704927:0.164796:0.704927:0.148434:0.695031:0.148434:0.000000
B:@0.796365:0.164796:0.805210:0.164796:0.805210:0.148434:0.796365:0.148434:0.000000
que indica el “doble más 1”?:@0.310262:0.181392:0.513334:0.181392:0.513334:0.165722:0.310262:0.165722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.343467:0.138475:0.521222:0.138475:0.521222:0.121575:0.343467:0.121575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando el valor de una variable  depende del valor de una variable x, se dice que :@0.305303:0.461023:0.907684:0.461023:0.907684:0.445354:0.305303:0.445354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.540477:0.461023:0.551275:0.461023:0.551275:0.444662:0.540477:0.444662:0.000000:0.000000
y:@0.305303:0.477620:0.314517:0.477620:0.314517:0.460719:0.305303:0.460719:0.000000
 está en función de  . Esto se representa como   =  ( ) y se lee “  es igual a   de  ”.:@0.314517:0.477620:0.903632:0.477620:0.903632:0.461950:0.314517:0.461950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.458031:0.477620:0.467135:0.477620:0.467135:0.460719:0.458031:0.460719:0.000000
y:@0.657805:0.477620:0.665287:0.477620:0.665287:0.461258:0.657805:0.461258:0.000000
f x:@0.684120:0.477620:0.701645:0.477620:0.701645:0.461258:0.684120:0.461258:0.000000:0.000000:0.000000
y:@0.771709:0.477620:0.780922:0.477620:0.780922:0.460719:0.771709:0.460719:0.000000
f:@0.856734:0.477620:0.861433:0.477620:0.861433:0.461258:0.856734:0.461258:0.000000
x:@0.888245:0.477620:0.897348:0.477620:0.897348:0.460719:0.888245:0.460719:0.000000
x:@0.305303:0.501339:0.314001:0.501339:0.314001:0.484438:0.305303:0.484438:0.000000
 es la variable independiente   la variable dependiente.:@0.314001:0.501339:0.717393:0.501339:0.717393:0.485669:0.314001:0.485669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.528642:0.501339:0.537340:0.501339:0.537340:0.484438:0.528642:0.484438:0.000000
Por lo tanto, para que una relación sea función, debe cumplir con dos características::@0.305303:0.525058:0.903593:0.525058:0.903593:0.509388:0.305303:0.509388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.305303:0.548777:0.324044:0.548777:0.324044:0.531641:0.305303:0.531641:0.000000:0.000000:0.000000
Todos:@0.333792:0.548777:0.381225:0.548777:0.381225:0.531876:0.333792:0.531876:0.000000:0.000000:0.000000:0.000000:0.000000
 los elementos del conjunto :@0.381225:0.548777:0.589693:0.548777:0.589693:0.533107:0.381225:0.533107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inicial intervienen:@0.589693:0.548777:0.732745:0.548777:0.732745:0.531876:0.589693:0.531876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en la relación.:@0.732745:0.548777:0.837340:0.548777:0.837340:0.533107:0.732745:0.533107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.305303:0.572496:0.324044:0.572496:0.324044:0.555360:0.305303:0.555360:0.000000:0.000000:0.000000
A cada:@0.333792:0.572496:0.388707:0.572496:0.388707:0.555595:0.333792:0.555595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 elemento del conjunto inicial le corresponde :@0.388707:0.572496:0.736619:0.572496:0.736619:0.556826:0.388707:0.556826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solo un:@0.738388:0.572496:0.798112:0.572496:0.798112:0.555595:0.738388:0.555595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 elemento del :@0.798112:0.572496:0.907703:0.572496:0.907703:0.556826:0.798112:0.556826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto final. :@0.333792:0.589092:0.442827:0.589092:0.442827:0.573422:0.333792:0.573422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.305302:0.609966:0.374807:0.609966:0.374807:0.594853:0.305302:0.594853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificamos:@0.305302:0.634004:0.413656:0.634004:0.413656:0.617103:0.305302:0.617103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 variables dependientes e independientes, :@0.413656:0.634004:0.733759:0.634004:0.733759:0.618334:0.413656:0.618334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
completamos:@0.735215:0.634004:0.843901:0.634004:0.843901:0.617103:0.735215:0.617103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla :@0.843901:0.634004:0.907697:0.634004:0.907697:0.618334:0.843901:0.618334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.305302:0.650600:0.317445:0.650600:0.317445:0.634931:0.305302:0.634931:0.000000:0.000000
graficamos:@0.317445:0.650600:0.405327:0.650600:0.405327:0.633700:0.317445:0.633700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.405327:0.650600:0.408533:0.650600:0.408533:0.634931:0.405327:0.634931:0.000000
En esta tabla, la relación es multiplicativa: por cada taza de harina que se aumenta, :@0.305302:0.752544:0.907756:0.752544:0.907756:0.736874:0.305302:0.736874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la cantidad sube 100  .:@0.305302:0.769140:0.473362:0.769140:0.473362:0.753470:0.305302:0.753470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.460886:0.769140:0.470155:0.769140:0.470155:0.752779:0.460886:0.752779:0.000000
Estos valores se pueden graficar en el plano cartesiano.:@0.305302:0.792859:0.707367:0.792859:0.707367:0.777189:0.305302:0.777189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función:@0.305303:0.221031:0.388703:0.221031:0.388703:0.199222:0.305303:0.199222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los gráficos muestran las relaciones entre dos conjuntos, que además son funciones.:@0.305303:0.243812:0.902764:0.243812:0.902764:0.228142:0.305303:0.228142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La :@0.318362:0.394137:0.336672:0.394137:0.336672:0.379892:0.318362:0.379892:0.000000:0.000000:0.000000
función:@0.336438:0.394137:0.390330:0.394137:0.390330:0.378773:0.336438:0.378773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es una relación entre dos conjuntos A y B, que asigna a cada uno de los ele-:@0.390095:0.394137:0.878629:0.394137:0.878629:0.379892:0.390095:0.379892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mentos del conjunto A (dominio o partida) uno y solo uno de los elementos del conjunto :@0.315011:0.409225:0.894962:0.409225:0.894962:0.394980:0.315011:0.394980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B (rango o llegada). Los elementos de A se llaman entradas y los elementos de B, salidas.:@0.315011:0.424313:0.879904:0.424313:0.879904:0.410067:0.315011:0.410067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función es una :@0.105728:0.550531:0.226496:0.550531:0.226496:0.536285:0.105728:0.536285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relación, por lo tanto, :@0.105728:0.565618:0.250149:0.565618:0.250149:0.551373:0.105728:0.551373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene dominio y rango.:@0.105728:0.580706:0.256817:0.580706:0.256817:0.566461:0.105728:0.566461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que...:@0.135781:0.525504:0.257862:0.525504:0.257862:0.508603:0.135781:0.508603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.335055:0.268976:0.344559:0.268976:0.344559:0.254967:0.335055:0.254967:0.000000
B:@0.460096:0.268976:0.468513:0.268976:0.468513:0.254967:0.460096:0.254967:0.000000
C:@0.531940:0.268500:0.540947:0.268500:0.540947:0.255318:0.531940:0.255318:0.000000
D:@0.656980:0.268500:0.667323:0.268500:0.667323:0.255318:0.656980:0.255318:0.000000
E:@0.728695:0.268500:0.736335:0.268500:0.736335:0.255318:0.728695:0.255318:0.000000
F:@0.853735:0.268500:0.861298:0.268500:0.861298:0.255318:0.853735:0.255318:0.000000
Independiente :@0.361032:0.677831:0.471596:0.677831:0.471596:0.662467:0.361032:0.662467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(tazas de harina):@0.354951:0.690404:0.474211:0.690404:0.474211:0.675040:0.354951:0.675040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.566292:0.684903:0.576169:0.684903:0.576169:0.668003:0.566292:0.668003:0.000000
1:@0.661268:0.684903:0.671145:0.684903:0.671145:0.668003:0.661268:0.668003:0.000000
2:@0.756244:0.684903:0.766121:0.684903:0.766121:0.668003:0.756244:0.668003:0.000000
3:@0.851220:0.684903:0.861097:0.684903:0.861097:0.668003:0.851220:0.668003:0.000000
Dependiente :@0.367230:0.709892:0.465398:0.709892:0.465398:0.694528:0.367230:0.694528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(gramos de harina):@0.346424:0.722465:0.482755:0.722465:0.482755:0.707101:0.346424:0.707101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.566734:0.716965:0.575727:0.716965:0.575727:0.701295:0.566734:0.701295:0.000000
100:@0.652718:0.716965:0.679696:0.716965:0.679696:0.701295:0.652718:0.701295:0.000000:0.000000:0.000000
200:@0.747694:0.716965:0.774672:0.716965:0.774672:0.701295:0.747694:0.701295:0.000000:0.000000:0.000000
300:@0.842670:0.716965:0.869648:0.716965:0.869648:0.701295:0.842670:0.701295:0.000000:0.000000:0.000000
Para cada relación se puede escribir una :@0.328683:0.828647:0.616672:0.828647:0.616672:0.814402:0.328683:0.814402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación. Esta ecuación toma el nombre :@0.328683:0.843734:0.616672:0.843734:0.616672:0.829489:0.328683:0.829489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de función, porque el valor de la variable :@0.328683:0.858822:0.616714:0.858822:0.616714:0.844577:0.328683:0.844577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dependiente está en función de los cam-:@0.328683:0.873910:0.612986:0.873910:0.612986:0.859664:0.328683:0.859664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bios en la variable independiente. :@0.328683:0.888997:0.557197:0.888997:0.557197:0.874752:0.328683:0.874752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.328683:0.911214:0.344598:0.911214:0.344598:0.896340:0.328683:0.896340:0.000000:0.000000:0.000000
( ) = 100:@0.333374:0.911214:0.390885:0.911214:0.390885:0.896969:0.333374:0.896969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.390885:0.911214:0.397669:0.911214:0.397669:0.896340:0.390885:0.896340:0.000000
300:@0.681116:0.819049:0.692337:0.819049:0.692337:0.810371:0.681116:0.810371:0.000000:0.000000:0.000000
250:@0.681116:0.833131:0.692337:0.833131:0.692337:0.824453:0.681116:0.824453:0.000000:0.000000:0.000000
200:@0.681116:0.848078:0.692337:0.848078:0.692337:0.839400:0.681116:0.839400:0.000000:0.000000:0.000000
150:@0.681116:0.862371:0.692337:0.862371:0.692337:0.853692:0.681116:0.853692:0.000000:0.000000:0.000000
100:@0.681116:0.877529:0.692337:0.877529:0.692337:0.868850:0.681116:0.868850:0.000000:0.000000:0.000000
50:@0.684867:0.892149:0.692347:0.892149:0.692347:0.883470:0.684867:0.883470:0.000000:0.000000
1:@0.709250:0.910995:0.712990:0.910995:0.712990:0.902316:0.709250:0.902316:0.000000
2:@0.725987:0.910995:0.729727:0.910995:0.729727:0.902316:0.725987:0.902316:0.000000
3:@0.743015:0.910995:0.746755:0.910995:0.746755:0.902316:0.743015:0.902316:0.000000
4:@0.758962:0.910995:0.762703:0.910995:0.762703:0.902316:0.758962:0.902316:0.000000
5:@0.775772:0.910995:0.779512:0.910995:0.779512:0.902316:0.775772:0.902316:0.000000
6:@0.792509:0.910995:0.796249:0.910995:0.796249:0.902316:0.792509:0.902316:0.000000
7:@0.809101:0.910995:0.812841:0.910995:0.812841:0.902316:0.809101:0.902316:0.000000
8:@0.825619:0.910995:0.829359:0.910995:0.829359:0.902316:0.825619:0.902316:0.000000
9:@0.841993:0.910995:0.845733:0.910995:0.845733:0.902316:0.841993:0.902316:0.000000
Tazas de harina:@0.694992:0.920955:0.739323:0.920955:0.739323:0.912276:0.694992:0.912276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gramos:@0.665705:0.801602:0.665705:0.801602:0.665705:0.792924:0.665705:0.792924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.659602:0.846772:0.659602:0.850398:0.671166:0.850398:0.671166:0.846772:0.000000:0.000000:0.000000
de:@0.665701:0.852013:0.665701:0.852013:0.665701:0.843335:0.665701:0.843335:0.000000:0.000000
   :@0.659602:0.865992:0.659602:0.869618:0.671166:0.869618:0.671166:0.865992:0.000000:0.000000:0.000000
harina:@0.665701:0.871233:0.665701:0.871233:0.665701:0.862555:0.665701:0.862555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.854005:0.899951:0.857173:0.899951:0.857173:0.891272:0.854005:0.891272:0.000000
y:@0.701367:0.807818:0.704671:0.807818:0.704671:0.799140:0.701367:0.799140:0.000000
Matemática :@0.143800:0.242454:0.232839:0.242454:0.232839:0.227090:0.143800:0.227090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Economía:@0.144956:0.257542:0.228215:0.257542:0.228215:0.242178:0.144956:0.242178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Utilizamos funciones :@0.106040:0.272629:0.248436:0.272629:0.248436:0.258384:0.106040:0.258384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para conocer la :@0.106040:0.287717:0.212418:0.287717:0.212418:0.273472:0.106040:0.273472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dinámica de la oferta y :@0.106040:0.302805:0.260981:0.302805:0.260981:0.288559:0.106040:0.288559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la demanda. :@0.106040:0.317892:0.191712:0.317892:0.191712:0.303647:0.106040:0.303647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga  escribe :@0.106040:0.340109:0.222536:0.340109:0.222536:0.324996:0.106040:0.324996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.158023:0.340109:0.169063:0.340109:0.169063:0.325863:0.158023:0.325863:0.000000:0.000000
un :@0.222536:0.340109:0.244080:0.340109:0.244080:0.325863:0.222536:0.325863:0.000000:0.000000:0.000000
ejemplo en el cuaderno :@0.106040:0.355196:0.268920:0.355196:0.268920:0.340951:0.106040:0.340951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre la aplicación de :@0.106040:0.370284:0.254249:0.370284:0.254249:0.356039:0.106040:0.356039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones en la oferta y :@0.106040:0.385372:0.264851:0.385372:0.264851:0.371126:0.106040:0.371126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la demanda. :@0.106040:0.400459:0.191712:0.400459:0.191712:0.386214:0.106040:0.386214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Preséntalo :@0.191712:0.400459:0.268639:0.400459:0.268639:0.385346:0.191712:0.385346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la clase.:@0.106040:0.415547:0.167888:0.415547:0.167888:0.401302:0.106040:0.401302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.117973:0.221883:0.270852:0.221883:0.270852:0.204983:0.117973:0.204983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.44.:@0.096359:0.941859:0.142269:0.941859:0.142269:0.931104:0.096359:0.931104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Definir y reconocer funciones de manera algebraica y de manera gráfica, con diagramas de Venn, determinando su dominio y recorrido en Z.:@0.142269:0.941859:0.800211:0.941859:0.800211:0.931887:0.142269:0.931887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R = {(2, 5);(3, 7)}:@0.533975:0.178750:0.607086:0.178748:0.607086:0.168776:0.533975:0.168778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 :@0.539900:0.180761:0.544734:0.180761:0.544734:0.174948:0.539900:0.174948:0.000000:0.000000