105:@0.938423:0.974518:0.967620:0.974518:0.967620:0.956590:0.938423:0.956590:0.000000:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.1 Monotonía de funciones:@0.072765:0.136836:0.292487:0.136836:0.292487:0.119889:0.072765:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El estudio de la monotonía de funciones consiste en establecer los intervalos en donde :@0.072765:0.164198:0.710849:0.164198:0.710849:0.147764:0.072765:0.147764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una función es creciente, decreciente o constante y, de igual manera, el ánálisis de :@0.072765:0.180840:0.710429:0.180840:0.710429:0.164406:0.072765:0.164406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puntos máximos y mínimos. Este es un critero que en cursos superiores se realizará desde :@0.072765:0.197482:0.710503:0.197482:0.710503:0.181048:0.072765:0.181048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la interpretación de la derivada.:@0.072765:0.214124:0.300415:0.214124:0.300415:0.197690:0.072765:0.197690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El precio en dólares de la libra de azúcar entre 2015 y 2021 está dado por la  :@0.072765:0.241486:0.710374:0.241486:0.710374:0.225052:0.072765:0.225052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente tabla. :@0.072765:0.258127:0.187030:0.258127:0.187030:0.241694:0.072765:0.241694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿En qué años aumentó el precio de la libra de azúcar? :@0.072765:0.332017:0.465048:0.332017:0.465048:0.315583:0.072765:0.315583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En este ejemplo tenemos que el año es la variable independiente ( ) y que el costo es la :@0.072765:0.359379:0.710422:0.359379:0.710422:0.342945:0.072765:0.342945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.554152:0.359379:0.561607:0.359379:0.561607:0.342973:0.554152:0.342973:0.000000
variable dependiente ( ) de la función  ( ).:@0.072747:0.376021:0.375712:0.376021:0.375712:0.359587:0.072747:0.359587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.236406:0.376021:0.243879:0.376021:0.243879:0.359615:0.236406:0.359615:0.000000
f x:@0.350899:0.376021:0.367778:0.376021:0.367778:0.359615:0.350899:0.359615:0.000000:0.000000:0.000000
Graficando la función, :@0.072747:0.403383:0.235117:0.403383:0.235117:0.386949:0.072747:0.386949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tenemos::@0.072747:0.420025:0.140460:0.420025:0.140460:0.403591:0.072747:0.403591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analizando la gráfica y la tabla de valores, podemos determinar que el precio del azúcar :@0.072747:0.613805:0.710790:0.613805:0.710790:0.597371:0.072747:0.597371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decreció entre el año 2016 y 2017, y entre 2020 y 2021. En el resto de años el precio ha :@0.072747:0.630447:0.710650:0.630447:0.710650:0.614013:0.072747:0.614013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ido en aumento. :@0.072747:0.647089:0.196486:0.647089:0.196486:0.630655:0.072747:0.630655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.2 Definición de funciones creciente, decreciente y constante:@0.072747:0.674451:0.556979:0.674451:0.556979:0.657504:0.072747:0.657504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Año:@0.175017:0.281212:0.205222:0.281212:0.205222:0.265591:0.175017:0.265591:0.000000:0.000000:0.000000
2015:@0.249792:0.281212:0.282256:0.281212:0.282256:0.266272:0.249792:0.266272:0.000000:0.000000:0.000000:0.000000
2016:@0.306721:0.281212:0.339185:0.281212:0.339185:0.266272:0.306721:0.266272:0.000000:0.000000:0.000000:0.000000
2017:@0.363650:0.281212:0.396113:0.281212:0.396113:0.266272:0.363650:0.266272:0.000000:0.000000:0.000000:0.000000
2018:@0.420578:0.281212:0.453042:0.281212:0.453042:0.266272:0.420578:0.266272:0.000000:0.000000:0.000000:0.000000
2019:@0.477507:0.281212:0.509970:0.281212:0.509970:0.266272:0.477507:0.266272:0.000000:0.000000:0.000000:0.000000
2020:@0.534435:0.281212:0.566899:0.281212:0.566899:0.266272:0.534435:0.266272:0.000000:0.000000:0.000000:0.000000
2021:@0.591364:0.281212:0.623828:0.281212:0.623828:0.266272:0.591364:0.266272:0.000000:0.000000:0.000000:0.000000
Costo:@0.169120:0.300753:0.211120:0.300753:0.211120:0.285133:0.169120:0.285133:0.000000:0.000000:0.000000:0.000000:0.000000
0,25:@0.252309:0.300753:0.279719:0.300753:0.279719:0.285813:0.252309:0.285813:0.000000:0.000000:0.000000:0.000000
0,30:@0.309238:0.300753:0.336648:0.300753:0.336648:0.285813:0.309238:0.285813:0.000000:0.000000:0.000000:0.000000
0,28:@0.366166:0.300753:0.393576:0.300753:0.393576:0.285813:0.366166:0.285813:0.000000:0.000000:0.000000:0.000000
0,35:@0.423095:0.300753:0.450505:0.300753:0.450505:0.285813:0.423095:0.285813:0.000000:0.000000:0.000000:0.000000
0,40:@0.480024:0.300753:0.507434:0.300753:0.507434:0.285813:0.480024:0.285813:0.000000:0.000000:0.000000:0.000000
0,45:@0.537203:0.300753:0.564111:0.300753:0.564111:0.285813:0.537203:0.285813:0.000000:0.000000:0.000000:0.000000
0,40:@0.594132:0.300753:0.621040:0.300753:0.621040:0.285813:0.594132:0.285813:0.000000:0.000000:0.000000:0.000000
Una función es creciente en un :@0.085599:0.708196:0.323802:0.708196:0.323802:0.691762:0.085599:0.691762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalo si::@0.082252:0.724838:0.163876:0.724838:0.163876:0.708404:0.082252:0.708404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.094732:0.748622:0.102187:0.748622:0.102187:0.732215:0.094732:0.732215:0.000000
1:@0.102124:0.751799:0.107361:0.751799:0.107361:0.742218:0.102124:0.742218:0.000000
 <  ; entonces,  ( ) <  ( ):@0.107314:0.748627:0.312410:0.748627:0.312410:0.732193:0.107314:0.732193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.126108:0.748627:0.133563:0.748627:0.133563:0.732221:0.126108:0.732221:0.000000
2:@0.133493:0.751799:0.138730:0.751799:0.138730:0.742218:0.133493:0.742218:0.000000
x:@0.239401:0.748627:0.246855:0.748627:0.246855:0.732221:0.239401:0.732221:0.000000
1:@0.246789:0.751799:0.252025:0.751799:0.252025:0.742218:0.246789:0.742218:0.000000
x:@0.294954:0.748627:0.302409:0.748627:0.302409:0.732221:0.294954:0.732221:0.000000
2:@0.302343:0.751799:0.307580:0.751799:0.307580:0.742218:0.302343:0.742218:0.000000
Una función es decreciente en :@0.357756:0.708196:0.596214:0.708196:0.596214:0.691762:0.357756:0.691762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un intervalo si::@0.354409:0.724838:0.459481:0.724838:0.459481:0.708404:0.354409:0.708404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.366889:0.748622:0.374344:0.748622:0.374344:0.732215:0.366889:0.732215:0.000000
1:@0.374281:0.751799:0.379517:0.751799:0.379517:0.742218:0.374281:0.742218:0.000000
 <  ; entonces,  ( ) >  ( ):@0.379470:0.748627:0.584567:0.748627:0.584567:0.732193:0.379470:0.732193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.398264:0.748627:0.405718:0.748627:0.405718:0.732221:0.398264:0.732221:0.000000
2:@0.405650:0.751799:0.410887:0.751799:0.410887:0.742218:0.405650:0.742218:0.000000
x:@0.511557:0.748627:0.519012:0.748627:0.519012:0.732221:0.511557:0.732221:0.000000
1:@0.518945:0.751799:0.524182:0.751799:0.524182:0.742218:0.518945:0.742218:0.000000
x:@0.567110:0.748627:0.574565:0.748627:0.574565:0.732221:0.567110:0.732221:0.000000
2:@0.574498:0.751799:0.579735:0.751799:0.579735:0.742218:0.574498:0.742218:0.000000
Una función es constante en un :@0.629910:0.708196:0.868354:0.708196:0.868354:0.691762:0.629910:0.691762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalo, para todo valor::@0.626564:0.724838:0.810969:0.724838:0.810969:0.708404:0.626564:0.708404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.639044:0.748622:0.646499:0.748622:0.646499:0.732215:0.639044:0.732215:0.000000
1:@0.646437:0.751799:0.651674:0.751799:0.651674:0.742218:0.646437:0.742218:0.000000
 <  ; entonces,  ( ) =  ( ):@0.651626:0.748627:0.856723:0.748627:0.856723:0.732193:0.651626:0.732193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.670420:0.748627:0.677875:0.748627:0.677875:0.732221:0.670420:0.732221:0.000000
2:@0.677806:0.751799:0.683043:0.751799:0.683043:0.742218:0.677806:0.742218:0.000000
x:@0.783713:0.748627:0.791168:0.748627:0.791168:0.732221:0.783713:0.732221:0.000000
1:@0.791101:0.751799:0.796338:0.751799:0.796338:0.742218:0.791101:0.742218:0.000000
x:@0.839266:0.748627:0.846721:0.748627:0.846721:0.732221:0.839266:0.732221:0.000000
2:@0.846654:0.751799:0.851891:0.751799:0.851891:0.742218:0.846654:0.742218:0.000000
( ):@0.106130:0.787474:0.120212:0.787474:0.120212:0.774028:0.106130:0.774028:0.000000:0.000000:0.000000
x:@0.110121:0.787474:0.116221:0.787474:0.116221:0.774051:0.110121:0.774051:0.000000
x:@0.305215:0.913581:0.311314:0.913581:0.311314:0.900158:0.305215:0.900158:0.000000
0:@0.114639:0.912447:0.121989:0.912447:0.121989:0.899001:0.114639:0.899001:0.000000
( ):@0.103623:0.887422:0.121990:0.887422:0.121990:0.873976:0.103623:0.873976:0.000000:0.000000:0.000000
x:@0.107614:0.887422:0.113714:0.887422:0.113714:0.873999:0.107614:0.873999:0.000000
1:@0.113714:0.890018:0.117999:0.890018:0.117999:0.882179:0.113714:0.882179:0.000000
( ):@0.103623:0.814252:0.121990:0.814252:0.121990:0.800806:0.103623:0.800806:0.000000:0.000000:0.000000
x:@0.107614:0.814252:0.113714:0.814252:0.113714:0.800829:0.107614:0.800829:0.000000
2:@0.113714:0.816848:0.117999:0.816848:0.117999:0.809009:0.113714:0.809009:0.000000
x:@0.176408:0.922493:0.182507:0.922493:0.182507:0.909070:0.176408:0.909070:0.000000
1:@0.182507:0.922493:0.185670:0.922493:0.185670:0.909047:0.182507:0.909047:0.000000
x:@0.226373:0.922493:0.232473:0.922493:0.232473:0.909070:0.226373:0.909070:0.000000
2:@0.232473:0.922493:0.236780:0.922493:0.236780:0.909047:0.232473:0.909047:0.000000
( ):@0.380064:0.787474:0.394145:0.787474:0.394145:0.774028:0.380064:0.774028:0.000000:0.000000:0.000000
x:@0.384055:0.787474:0.390154:0.787474:0.390154:0.774051:0.384055:0.774051:0.000000
x:@0.577672:0.913581:0.583772:0.913581:0.583772:0.900158:0.577672:0.900158:0.000000
0:@0.386796:0.912447:0.394145:0.912447:0.394145:0.899001:0.386796:0.899001:0.000000
( 2):@0.375756:0.895077:0.394145:0.895077:0.394145:0.881631:0.375756:0.881631:0.000000:0.000000:0.000000:0.000000
x:@0.379748:0.895077:0.385847:0.895077:0.385847:0.881654:0.379748:0.881654:0.000000
( 1):@0.376901:0.868497:0.394145:0.868497:0.394145:0.855051:0.376901:0.855051:0.000000:0.000000:0.000000:0.000000
x:@0.380892:0.868497:0.386992:0.868497:0.386992:0.855074:0.380892:0.855074:0.000000
x:@0.445965:0.922089:0.452065:0.922089:0.452065:0.908666:0.445965:0.908666:0.000000
1:@0.452065:0.922089:0.455227:0.922089:0.455227:0.908643:0.452065:0.908643:0.000000
x:@0.500862:0.922493:0.506962:0.922493:0.506962:0.909070:0.500862:0.909070:0.000000
2:@0.506962:0.922493:0.511269:0.922493:0.511269:0.909047:0.506962:0.909047:0.000000
( ):@0.700335:0.787474:0.714416:0.787474:0.714416:0.774028:0.700335:0.774028:0.000000:0.000000:0.000000
x:@0.704326:0.787474:0.710425:0.787474:0.710425:0.774051:0.704326:0.774051:0.000000
x:@0.856045:0.917893:0.862145:0.917893:0.862145:0.904470:0.856045:0.904470:0.000000
0:@0.709341:0.912447:0.716691:0.912447:0.716691:0.899001:0.709341:0.899001:0.000000
( 1) =:@0.651413:0.859321:0.680932:0.859321:0.680932:0.845875:0.651413:0.845875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.655404:0.859321:0.661504:0.859321:0.661504:0.845898:0.655404:0.845898:0.000000
 :@0.680932:0.859321:0.683643:0.859321:0.683643:0.845898:0.680932:0.845898:0.000000
( 2):@0.698312:0.859321:0.716701:0.859321:0.716701:0.845875:0.698312:0.845875:0.000000:0.000000:0.000000:0.000000
x:@0.702303:0.859321:0.708402:0.859321:0.708402:0.845898:0.702303:0.845898:0.000000
x:@0.768520:0.922493:0.774620:0.922493:0.774620:0.909070:0.768520:0.909070:0.000000
1:@0.774620:0.922493:0.777783:0.922493:0.777783:0.909047:0.774620:0.909047:0.000000
x:@0.821040:0.926960:0.827139:0.926960:0.827139:0.913537:0.821040:0.913537:0.000000
2:@0.827139:0.926960:0.831446:0.926960:0.831446:0.913514:0.827139:0.913514:0.000000
Costo:@0.266263:0.411790:0.291624:0.411790:0.291624:0.401349:0.266263:0.401349:0.000000:0.000000:0.000000:0.000000:0.000000
Año:@0.645881:0.580042:0.664166:0.580042:0.664166:0.569602:0.645881:0.569602:0.000000:0.000000:0.000000
A:@0.370437:0.531669:0.381702:0.531669:0.381702:0.514999:0.370437:0.514999:0.000000
B:@0.413197:0.509618:0.423174:0.509618:0.423174:0.492949:0.413197:0.492949:0.000000
C:@0.453840:0.520089:0.464516:0.520089:0.464516:0.503419:0.453840:0.503419:0.000000
D:@0.489808:0.488303:0.502067:0.488303:0.502067:0.471633:0.489808:0.471633:0.000000
E:@0.533985:0.461038:0.543042:0.461038:0.543042:0.444368:0.533985:0.444368:0.000000
F:@0.592023:0.437920:0.600988:0.437920:0.600988:0.421250:0.592023:0.421250:0.000000
G:@0.633219:0.474185:0.645110:0.474185:0.645110:0.457516:0.633219:0.457516:0.000000
2015:@0.362557:0.575351:0.386856:0.575351:0.386856:0.563520:0.362557:0.563520:0.000000:0.000000:0.000000:0.000000
2017:@0.446311:0.575351:0.470610:0.575351:0.470610:0.563520:0.446311:0.563520:0.000000:0.000000:0.000000:0.000000
2018:@0.488652:0.575351:0.512951:0.575351:0.512951:0.563520:0.488652:0.563520:0.000000:0.000000:0.000000:0.000000
2019:@0.530993:0.575351:0.555292:0.575351:0.555292:0.563520:0.530993:0.563520:0.000000:0.000000:0.000000:0.000000
2020:@0.575384:0.575351:0.599684:0.575351:0.599684:0.563520:0.575384:0.563520:0.000000:0.000000:0.000000:0.000000
2021:@0.616576:0.575351:0.640875:0.575351:0.640875:0.563520:0.616576:0.563520:0.000000:0.000000:0.000000:0.000000
2016:@0.405303:0.575351:0.429602:0.575351:0.429602:0.563520:0.405303:0.563520:0.000000:0.000000:0.000000:0.000000
0,25:@0.315213:0.537048:0.329574:0.537048:0.329574:0.528679:0.315213:0.528679:0.000000:0.000000:0.000000:0.000000
0,35:@0.315213:0.489864:0.329574:0.489864:0.329574:0.481495:0.315213:0.481495:0.000000:0.000000:0.000000:0.000000
0,50:@0.315213:0.418013:0.329574:0.418013:0.329574:0.409644:0.315213:0.409644:0.000000:0.000000:0.000000:0.000000
y:@0.334463:0.397014:0.338815:0.397014:0.338815:0.388646:0.334463:0.388646:0.000000
x:@0.665599:0.560692:0.669878:0.560692:0.669878:0.552323:0.665599:0.552323:0.000000
0,45:@0.315213:0.442423:0.329574:0.442423:0.329574:0.434054:0.315213:0.434054:0.000000:0.000000:0.000000:0.000000
0,40:@0.315213:0.465781:0.329574:0.465781:0.329574:0.457413:0.315213:0.457413:0.000000:0.000000:0.000000:0.000000
0,30:@0.315213:0.513237:0.329574:0.513237:0.329574:0.504868:0.315213:0.504868:0.000000:0.000000:0.000000:0.000000
•  Si los valores de f( ) van :@0.745036:0.210739:0.917502:0.210739:0.917502:0.195799:0.745036:0.195799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.875165:0.210739:0.881943:0.210739:0.881943:0.195824:0.875165:0.195824:0.000000
en aumento, la función :@0.759250:0.225868:0.915648:0.225868:0.915648:0.210928:0.759250:0.210928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es creciente en ese :@0.759250:0.240996:0.888173:0.240996:0.888173:0.226057:0.759250:0.226057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalo.:@0.759250:0.256125:0.819942:0.256125:0.819942:0.241186:0.759250:0.241186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Si los valores de f( ) :@0.745036:0.271254:0.889975:0.271254:0.889975:0.256315:0.745036:0.256315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.875165:0.271254:0.881943:0.271254:0.881943:0.256340:0.875165:0.256340:0.000000
disminuyen la función :@0.759250:0.286383:0.909346:0.286383:0.909346:0.271443:0.759250:0.271443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es decreciente en ese :@0.759250:0.301512:0.905258:0.301512:0.905258:0.286572:0.759250:0.286572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalo.:@0.759250:0.316641:0.819942:0.316641:0.819942:0.301701:0.759250:0.301701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función puede ser :@0.740274:0.335338:0.894460:0.335338:0.894460:0.320398:0.740274:0.320398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
totalmente creciente o :@0.740274:0.350467:0.894567:0.350467:0.894567:0.335527:0.740274:0.335527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decreciente.:@0.740274:0.365596:0.821046:0.365596:0.821046:0.350656:0.740274:0.350656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.170032:0.848854:0.170032:0.848854:0.153085:0.740294:0.153085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.186673:0.837769:0.186673:0.837769:0.169727:0.740294:0.169727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000