100:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000
M.4.1.45.:@0.096359:0.934315:0.142269:0.934315:0.142269:0.923560:0.096359:0.923560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Representar funciones de forma gráfica, con barras, bastones y diagramas circulares, y analizar sus características.:@0.142269:0.934315:0.668026:0.934315:0.668026:0.924343:0.142269:0.924343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.46. :@0.096359:0.945088:0.144696:0.945088:0.144696:0.934333:0.096359:0.934333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Elaborar modelos matemáticos sencillos como funciones en la solución de problemas.:@0.144696:0.945088:0.546681:0.945088:0.546681:0.935116:0.144696:0.935116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Modelos matemáticos como funciones:@0.305303:0.084620:0.861178:0.084620:0.861178:0.053892:0.305303:0.053892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 2:@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
Recordemos que una relación R de un conjunto A en un conjunto B es un subcon-:@0.304744:0.205178:0.902978:0.205178:0.902978:0.189508:0.304744:0.189508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
junto del producto cartesiano entre      , que cumple una ley, regla o característi-:@0.304744:0.221774:0.903087:0.221774:0.903087:0.206104:0.304744:0.206104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.567225:0.221774:0.577121:0.221774:0.577121:0.205413:0.567225:0.205413:0.000000
×:@0.580587:0.222355:0.595937:0.222355:0.595937:0.204749:0.580587:0.204749:0.000000
B:@0.599402:0.221774:0.608247:0.221774:0.608247:0.205413:0.599402:0.205413:0.000000
ca particular, la cual hace corresponder los elementos de   con los elementos de .:@0.304744:0.238370:0.903087:0.238370:0.903087:0.222701:0.304744:0.222701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.718997:0.238370:0.728893:0.238370:0.728893:0.222009:0.718997:0.222009:0.000000
 B:@0.888179:0.238370:0.899881:0.238370:0.899881:0.222009:0.888179:0.222009:0.000000:0.000000
Un trabajador gana en una construcción $ 10 por cada hora de trabajo. ¿Cuánto :@0.304744:0.262089:0.907051:0.262089:0.907051:0.246420:0.304744:0.246420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recibirá por un número cualquiera de horas de trabajo?:@0.304744:0.278686:0.708620:0.278686:0.708620:0.263016:0.304744:0.263016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A continuación plantearemos la función::@0.304744:0.302405:0.601758:0.302405:0.601758:0.286735:0.304744:0.286735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero:@0.304744:0.326124:0.370401:0.326124:0.370401:0.308988:0.304744:0.308988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: verificamos si la relación anterior es una función.:@0.370401:0.326124:0.731616:0.326124:0.731616:0.310454:0.370401:0.310454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es una función debido a que asigna a cada hora de trabajo una cantidad de dinero.:@0.304744:0.349843:0.903126:0.349843:0.903126:0.334173:0.304744:0.334173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Segundo:@0.304744:0.373562:0.378491:0.373562:0.378491:0.356426:0.304744:0.356426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: identificamos la variable dependiente y la variable independiente.:@0.378491:0.373562:0.868198:0.373562:0.868198:0.357892:0.378491:0.357892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Variable independiente: horas trabajadas, ( ):@0.304744:0.397281:0.627203:0.397281:0.627203:0.381611:0.304744:0.381611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.614857:0.397281:0.622320:0.397281:0.622320:0.380919:0.614857:0.380919:0.000000
Variable dependiente: cantidad de dinero que gana,   =  ( ):@0.304744:0.421000:0.737511:0.421000:0.737511:0.405330:0.304744:0.405330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.689047:0.421000:0.696528:0.421000:0.696528:0.404638:0.689047:0.404638:0.000000
f x:@0.715582:0.421000:0.732628:0.421000:0.732628:0.404638:0.715582:0.404638:0.000000:0.000000:0.000000
Tercero:@0.304744:0.444719:0.365260:0.444719:0.365260:0.427583:0.304744:0.427583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: escribimos la función que modela el problema::@0.365260:0.444719:0.717038:0.444719:0.717038:0.429049:0.365260:0.429049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.569088:0.468438:0.586134:0.468438:0.586134:0.452076:0.569088:0.452076:0.000000:0.000000:0.000000
( ) = 10 .:@0.573787:0.468438:0.638726:0.468438:0.638726:0.452768:0.573787:0.452768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.628057:0.468438:0.635520:0.468438:0.635520:0.452076:0.628057:0.452076:0.000000
Realizamos la representación gráfica de la función planteada, utilizando una tabla :@0.304744:0.610779:0.907160:0.610779:0.907160:0.595109:0.304744:0.595109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de valores, en la cual asignamos cantidades a la variable dependiente.:@0.304744:0.627376:0.815405:0.627376:0.815405:0.611706:0.304744:0.611706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.304744:0.784133:0.362104:0.784133:0.362104:0.769021:0.304744:0.769021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un comerciante de ropa vende cada camisa en $ 25.:@0.304744:0.808172:0.687852:0.808172:0.687852:0.792502:0.304744:0.792502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las variables son::@0.304744:0.831891:0.430439:0.831891:0.430439:0.816221:0.304744:0.816221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•   Variable independiente: :@0.304744:0.855610:0.507960:0.855610:0.507960:0.838986:0.304744:0.838986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número de camisetas, (x):@0.507960:0.855610:0.690705:0.855610:0.690705:0.839940:0.507960:0.839940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•   Variable dependiente: :@0.304744:0.879329:0.493421:0.879329:0.493421:0.862705:0.304744:0.862705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor, (y):@0.493421:0.879329:0.553550:0.879329:0.553550:0.863659:0.493421:0.863659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función que modela el problema es: f( ) = 25 .:@0.304744:0.903048:0.664005:0.903048:0.664005:0.887378:0.304744:0.887378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.603950:0.903048:0.611413:0.903048:0.611413:0.886686:0.603950:0.886686:0.000000
x:@0.653336:0.903048:0.660799:0.903048:0.660799:0.886686:0.653336:0.886686:0.000000
Definición:@0.319266:0.505895:0.400845:0.505895:0.400845:0.488995:0.319266:0.488995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Una :@0.400845:0.505895:0.444630:0.505895:0.444630:0.490225:0.400845:0.490225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función:@0.447357:0.505895:0.508186:0.505895:0.508186:0.488995:0.447357:0.488995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es una relación o correspondencia que :@0.508186:0.505895:0.817107:0.505895:0.817107:0.490225:0.508186:0.490225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asigna:@0.819835:0.505895:0.871985:0.505895:0.871985:0.488995:0.819835:0.488995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a :@0.871985:0.505895:0.891150:0.505895:0.891150:0.490225:0.871985:0.490225:0.000000:0.000000:0.000000
cada elemento de un:@0.315913:0.522492:0.472085:0.522492:0.472085:0.506822:0.315913:0.506822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.472085:0.522492:0.475807:0.522492:0.475807:0.505356:0.472085:0.505356:0.000000
conjunto A, uno y solo un:@0.475606:0.522492:0.676346:0.522492:0.676346:0.505591:0.475606:0.505591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 elemento de un :@0.676346:0.522492:0.801578:0.522492:0.801578:0.506822:0.676346:0.506822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto B:@0.801376:0.522492:0.887315:0.522492:0.887315:0.505591:0.801376:0.505591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.887315:0.522492:0.890521:0.522492:0.890521:0.506822:0.887315:0.506822:0.000000
f:@0.575576:0.546211:0.581639:0.546211:0.581639:0.529102:0.575576:0.529102:0.000000
: :@0.581639:0.546211:0.588881:0.546211:0.588881:0.530541:0.581639:0.530541:0.000000:0.000000
A   B:@0.588881:0.546211:0.630853:0.546216:0.630853:0.529854:0.588881:0.529849:0.000000:0.000000:0.000000:0.000000:0.000000
Se lee “la función f del conjunto   en el conjunto  ” y su ecuación es   =  ( ).:@0.315924:0.569935:0.867071:0.569935:0.867071:0.554265:0.315924:0.554265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.550560:0.569935:0.560455:0.569935:0.560455:0.553573:0.550560:0.553573:0.000000
B:@0.675147:0.569935:0.683992:0.569935:0.683992:0.553573:0.675147:0.553573:0.000000
y:@0.815400:0.569935:0.822881:0.569935:0.822881:0.553573:0.815400:0.553573:0.000000
f x:@0.841936:0.569935:0.858981:0.569935:0.858981:0.553573:0.841936:0.553573:0.000000:0.000000:0.000000
¿Cómo se representa un producto cartesiano?:@0.311168:0.166144:0.648833:0.166144:0.648833:0.150474:0.311168:0.150474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.344861:0.139515:0.470369:0.139515:0.470369:0.122615:0.344861:0.122615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Horas  :@0.329805:0.676994:0.380029:0.676994:0.380029:0.661416:0.329805:0.661416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de trabajo:@0.313137:0.692081:0.389930:0.692081:0.389930:0.676503:0.313137:0.676503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.413517:0.684538:0.421692:0.684538:0.421692:0.670292:0.413517:0.670292:0.000000
2:@0.452935:0.684538:0.461111:0.684538:0.461111:0.670292:0.452935:0.670292:0.000000
3:@0.492354:0.684538:0.500529:0.684538:0.500529:0.670292:0.492354:0.670292:0.000000
4:@0.531772:0.684538:0.539947:0.684538:0.539947:0.670292:0.531772:0.670292:0.000000
5:@0.571191:0.684538:0.579366:0.684538:0.579366:0.670292:0.571191:0.670292:0.000000
Cantidad  :@0.317593:0.711569:0.391739:0.711569:0.391739:0.695992:0.317593:0.695992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de dinero:@0.315867:0.726657:0.387216:0.726657:0.387216:0.711079:0.315867:0.711079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.409446:0.719113:0.425797:0.719113:0.425797:0.704868:0.409446:0.704868:0.000000:0.000000
20:@0.448865:0.719113:0.465215:0.719113:0.465215:0.704868:0.448865:0.704868:0.000000:0.000000
30:@0.488283:0.719113:0.504633:0.719113:0.504633:0.704868:0.488283:0.704868:0.000000:0.000000
40:@0.527701:0.719113:0.544052:0.719113:0.544052:0.704868:0.527701:0.704868:0.000000:0.000000
50:@0.567120:0.719113:0.583470:0.719113:0.583470:0.704868:0.567120:0.704868:0.000000:0.000000
10:@0.619727:0.736373:0.630514:0.736373:0.630514:0.727473:0.619727:0.727473:0.000000:0.000000
0:@0.626256:0.756960:0.631649:0.756960:0.631649:0.748060:0.626256:0.748060:0.000000
2:@0.708460:0.759415:0.713853:0.759415:0.713853:0.750515:0.708460:0.750515:0.000000
3:@0.747243:0.758101:0.752636:0.758101:0.752636:0.749201:0.747243:0.749201:0.000000
1:@0.670443:0.758148:0.675080:0.758148:0.675080:0.749161:0.670443:0.749161:0.000000
20:@0.619202:0.720933:0.629988:0.720933:0.629988:0.712033:0.619202:0.712033:0.000000:0.000000
4:@0.785638:0.758101:0.791031:0.758101:0.791031:0.749201:0.785638:0.749201:0.000000
y:@0.620821:0.659550:0.625772:0.659550:0.625772:0.650650:0.620821:0.650650:0.000000
x:@0.877188:0.751758:0.882055:0.751758:0.882055:0.742858:0.877188:0.742858:0.000000
5:@0.824043:0.758101:0.829436:0.758101:0.829436:0.749201:0.824043:0.749201:0.000000
6:@0.862448:0.758101:0.867841:0.758101:0.867841:0.749201:0.862448:0.749201:0.000000
30:@0.619738:0.705493:0.630524:0.705493:0.630524:0.696593:0.619738:0.696593:0.000000:0.000000
40:@0.619391:0.690053:0.630177:0.690053:0.630177:0.681152:0.619391:0.681152:0.000000:0.000000
50:@0.619086:0.674613:0.629873:0.674613:0.629873:0.665712:0.619086:0.665712:0.000000:0.000000
Cantidad de dinero:@0.640725:0.663201:0.732441:0.663201:0.732441:0.652029:0.640725:0.652029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Horas de trabajo:@0.787952:0.767354:0.867053:0.767354:0.867053:0.756182:0.787952:0.756182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2, 20):@0.689895:0.711386:0.721762:0.711386:0.721762:0.700705:0.689895:0.700705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(3, 30):@0.749555:0.716117:0.781423:0.716117:0.781423:0.705436:0.749555:0.705436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(4, 40):@0.766902:0.680307:0.798770:0.680307:0.798770:0.669626:0.766902:0.669626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(5, 50):@0.825780:0.684632:0.857648:0.684632:0.857648:0.673951:0.825780:0.673951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1, 10):@0.676749:0.743295:0.708617:0.743295:0.708617:0.732615:0.676749:0.732615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Soldador en una construcción:@0.096002:0.403039:0.272435:0.403039:0.272435:0.390218:0.096002:0.390218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Toda función es una :@0.106213:0.164103:0.244186:0.164103:0.244186:0.149858:0.106213:0.149858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relación, pero no toda :@0.106213:0.179191:0.256347:0.179191:0.256347:0.164945:0.106213:0.164945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relación es una función.:@0.106213:0.194278:0.264021:0.194278:0.264021:0.180033:0.106213:0.180033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabías que?:@0.138784:0.139592:0.240652:0.139592:0.240652:0.122691:0.138784:0.122691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se lee la función f :@0.106213:0.473892:0.227015:0.473892:0.227015:0.459647:0.106213:0.459647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del conjunto   en :@0.106213:0.488979:0.228588:0.488979:0.228588:0.474734:0.106213:0.474734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.195150:0.488979:0.204146:0.488979:0.204146:0.474106:0.195150:0.474106:0.000000
el conjunto   y su :@0.106213:0.504067:0.227599:0.504067:0.227599:0.489822:0.106213:0.489822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.186037:0.504067:0.194078:0.504067:0.194078:0.489193:0.186037:0.489193:0.000000
ecuación es   =  ).:@0.106213:0.519155:0.235860:0.519155:0.235860:0.504909:0.106213:0.504909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.188886:0.519155:0.195688:0.519155:0.195688:0.504281:0.188886:0.504281:0.000000
f(x:@0.213010:0.519155:0.228506:0.519155:0.228506:0.504281:0.213010:0.504281:0.000000:0.000000:0.000000
Variable :@0.106213:0.541371:0.169135:0.541371:0.169135:0.526007:0.106213:0.526007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
independiente:@0.106213:0.556459:0.213075:0.556459:0.213075:0.541095:0.106213:0.541095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Está :@0.213075:0.556459:0.249880:0.556459:0.249880:0.542214:0.213075:0.542214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.215990:0.556459:0.219374:0.556459:0.219374:0.540881:0.215990:0.540881:0.000000
representada con la :@0.106213:0.571546:0.241606:0.571546:0.241606:0.557301:0.106213:0.557301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
letra   se le asigna :@0.106213:0.586634:0.229710:0.586634:0.229710:0.572389:0.106213:0.572389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.139282:0.586634:0.146067:0.586634:0.146067:0.571760:0.139282:0.571760:0.000000
cualquier valor que :@0.106213:0.601722:0.237971:0.601722:0.237971:0.587476:0.106213:0.587476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permita el dominio.:@0.106213:0.616809:0.236914:0.616809:0.236914:0.602564:0.106213:0.602564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Variable dependiente  :@0.106213:0.639026:0.268509:0.639026:0.268509:0.623662:0.106213:0.623662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.262126:0.639026:0.265041:0.639026:0.265041:0.624781:0.262126:0.624781:0.000000
Se la representa con la :@0.106213:0.654113:0.259362:0.654113:0.259362:0.639868:0.106213:0.639868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
letra   porque depende :@0.106213:0.669201:0.266936:0.669201:0.266936:0.654956:0.106213:0.654956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.139282:0.669201:0.146084:0.669201:0.146084:0.654327:0.139282:0.654327:0.000000
de los valores que se le :@0.106213:0.684289:0.263098:0.684289:0.263098:0.670043:0.106213:0.670043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asigne a  .:@0.106213:0.699376:0.174295:0.699376:0.174295:0.685131:0.106213:0.685131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.164595:0.699376:0.171380:0.699376:0.171380:0.684502:0.164595:0.684502:0.000000
Evaluación de :@0.106213:0.721593:0.210095:0.721593:0.210095:0.706228:0.106213:0.706228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones  :@0.106213:0.736680:0.183526:0.736680:0.183526:0.721316:0.106213:0.721316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Evaluar una :@0.177143:0.736680:0.264255:0.736680:0.264255:0.722435:0.177143:0.722435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función es encontrar :@0.106213:0.751768:0.247855:0.751768:0.247855:0.737523:0.106213:0.737523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la imagen de un valor :@0.106213:0.766856:0.254455:0.766856:0.254455:0.752610:0.106213:0.752610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.106213:0.781943:0.112998:0.781943:0.112998:0.767069:0.106213:0.767069:0.000000
, reemplazando en la :@0.112998:0.781943:0.255343:0.781943:0.255343:0.767698:0.112998:0.767698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función. :@0.106213:0.797031:0.163925:0.797031:0.163925:0.782786:0.106213:0.782786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo::@0.106213:0.819247:0.193912:0.819247:0.193912:0.804135:0.106213:0.804135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.106213:0.841464:0.121709:0.841464:0.121709:0.826590:0.106213:0.826590:0.000000:0.000000:0.000000
( ) = 3  − 1.  :@0.110485:0.841464:0.194180:0.841464:0.194180:0.827219:0.110485:0.827219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.151646:0.841464:0.158430:0.841464:0.158430:0.826590:0.151646:0.826590:0.000000
La imagen de:@0.106213:0.856551:0.196944:0.856551:0.196944:0.842306:0.106213:0.842306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.106213:0.878768:0.112998:0.878768:0.112998:0.863894:0.106213:0.863894:0.000000
 = 5 es::@0.112998:0.878768:0.159452:0.878768:0.159452:0.864523:0.112998:0.864523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.106213:0.900984:0.110485:0.900984:0.110485:0.886111:0.106213:0.886111:0.000000
(5) = 3(5) − 1 = 14.:@0.110485:0.900984:0.232174:0.900984:0.232174:0.886739:0.110485:0.886739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que...:@0.136265:0.448865:0.258346:0.448865:0.258346:0.431965:0.136265:0.431965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 102584774:@0.090398:0.384542:0.090398:0.310575:0.079010:0.310575:0.079010:0.384542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mediante diagrama cartesiano o diagramas de Venn:@0.653262:0.163736:0.895977:0.163736:0.895977:0.153764:0.653262:0.153764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000