105:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000
Monotonía de funciones:@0.095800:0.136254:0.349190:0.136254:0.349190:0.114445:0.095800:0.114445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El estudio de la monotonía de funciones consiste en establecer los intervalos en :@0.095800:0.166340:0.698089:0.166340:0.698089:0.150670:0.095800:0.150670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dónde una función es creciente, decreciento o constante, de igual manera el áná-:@0.095800:0.182936:0.694052:0.182936:0.694052:0.167266:0.095800:0.167266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lisis de puntos máximos y mínimos. Este es un critero que en cursos superiores se :@0.095800:0.199532:0.698161:0.199532:0.698161:0.183863:0.095800:0.183863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realizará desde la interpretación de la derivada.:@0.095800:0.216129:0.438844:0.216129:0.438844:0.200459:0.095800:0.200459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El precio en dólares de la libra de azúcar en el periodo entre 2015 y 2021 está dado :@0.095800:0.239848:0.698071:0.239848:0.698071:0.224178:0.095800:0.224178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por la siguiente tabla. :@0.095800:0.256444:0.257059:0.256444:0.257059:0.240774:0.095800:0.240774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿En qué años aumentó el precio de la libra de azúcar? :@0.095800:0.337255:0.492359:0.337255:0.492359:0.321585:0.095800:0.321585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En este ejemplo tenemos que el año es la variable independiente ( ) y que el costo :@0.095800:0.360974:0.698273:0.360974:0.698273:0.345304:0.095800:0.345304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.577941:0.360974:0.585404:0.360974:0.585404:0.344612:0.577941:0.344612:0.000000
es la variable dependiente ( ) de la función f( ).:@0.095800:0.377570:0.438809:0.377570:0.438809:0.361900:0.095800:0.361900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.297561:0.377570:0.305042:0.377570:0.305042:0.361209:0.297561:0.361209:0.000000
x:@0.423256:0.377570:0.430719:0.377570:0.430719:0.361209:0.423256:0.361209:0.000000
Graficando la función tenemos que::@0.095800:0.401289:0.357987:0.401289:0.357987:0.385619:0.095800:0.385619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.095800:0.425008:0.099836:0.425008:0.099836:0.409338:0.095800:0.409338:0.000000
Analizando la gráfica y la tabla de valores, podemos determinar que el precio del :@0.095800:0.628466:0.698214:0.628466:0.698214:0.612796:0.095800:0.612796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
azúcar decreció entre el año 2016 y 2017, y entre 2020 y 2021. En el resto de años :@0.095800:0.645062:0.698144:0.645062:0.698144:0.629392:0.095800:0.629392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el precio ha ido aumentando. :@0.095800:0.661658:0.315657:0.661658:0.315657:0.645989:0.095800:0.645989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Año:@0.129080:0.286819:0.159452:0.286819:0.159452:0.271241:0.129080:0.271241:0.000000:0.000000:0.000000
2015:@0.203896:0.286819:0.236597:0.286819:0.236597:0.272574:0.203896:0.272574:0.000000:0.000000:0.000000:0.000000
2016:@0.260888:0.286819:0.293588:0.286819:0.293588:0.272574:0.260888:0.272574:0.000000:0.000000:0.000000:0.000000
2017:@0.317879:0.286819:0.350580:0.286819:0.350580:0.272574:0.317879:0.272574:0.000000:0.000000:0.000000:0.000000
2018:@0.374871:0.286819:0.407572:0.286819:0.407572:0.272574:0.374871:0.272574:0.000000:0.000000:0.000000:0.000000
2019:@0.431863:0.286819:0.464563:0.286819:0.464563:0.272574:0.431863:0.272574:0.000000:0.000000:0.000000:0.000000
2020:@0.488854:0.286819:0.521555:0.286819:0.521555:0.272574:0.488854:0.272574:0.000000:0.000000:0.000000:0.000000
2021:@0.545846:0.286819:0.578547:0.286819:0.578547:0.272574:0.545846:0.272574:0.000000:0.000000:0.000000:0.000000
Costo:@0.123149:0.306307:0.165466:0.306307:0.165466:0.290729:0.123149:0.290729:0.000000:0.000000:0.000000:0.000000:0.000000
0,25:@0.206560:0.306307:0.234000:0.306307:0.234000:0.292062:0.206560:0.292062:0.000000:0.000000:0.000000:0.000000
0,30:@0.263551:0.306307:0.290992:0.306307:0.290992:0.292062:0.263551:0.292062:0.000000:0.000000:0.000000:0.000000
0,28:@0.320543:0.306307:0.347983:0.306307:0.347983:0.292062:0.320543:0.292062:0.000000:0.000000:0.000000:0.000000
0,35:@0.377535:0.306307:0.404975:0.306307:0.404975:0.292062:0.377535:0.292062:0.000000:0.000000:0.000000:0.000000
0,40:@0.434526:0.306307:0.461967:0.306307:0.461967:0.292062:0.434526:0.292062:0.000000:0.000000:0.000000:0.000000
0,45:@0.491769:0.306307:0.518707:0.306307:0.518707:0.292062:0.491769:0.292062:0.000000:0.000000:0.000000:0.000000
0,40:@0.548761:0.306307:0.575699:0.306307:0.575699:0.292062:0.548761:0.292062:0.000000:0.000000:0.000000:0.000000
Una función es creciente en un :@0.105857:0.714968:0.353284:0.714968:0.353284:0.699298:0.105857:0.699298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalo si::@0.105857:0.731564:0.188468:0.731564:0.188468:0.715895:0.105857:0.715895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.117429:0.768325:0.124892:0.768325:0.124892:0.751964:0.117429:0.751964:0.000000
1:@0.124893:0.771485:0.130136:0.771485:0.130136:0.762350:0.124893:0.762350:0.000000
 <  ; entonces,  ( ) <  ( ):@0.130135:0.768322:0.337655:0.768322:0.337655:0.752652:0.130135:0.752652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.149189:0.768322:0.156653:0.768322:0.156653:0.751960:0.149189:0.751960:0.000000
2:@0.156653:0.771485:0.161895:0.771485:0.161895:0.762350:0.156653:0.762350:0.000000
x:@0.263853:0.768322:0.271316:0.768322:0.271316:0.751960:0.263853:0.751960:0.000000
1:@0.271316:0.771485:0.276559:0.771485:0.276559:0.762350:0.271316:0.762350:0.000000
x:@0.320065:0.768322:0.327529:0.768322:0.327529:0.751960:0.320065:0.751960:0.000000
2:@0.327529:0.771485:0.332771:0.771485:0.332771:0.762350:0.327529:0.762350:0.000000
Una función es decreciente en un :@0.378314:0.714968:0.625721:0.714968:0.625721:0.699298:0.378314:0.699298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalo si::@0.378314:0.731564:0.460925:0.731564:0.460925:0.715895:0.378314:0.715895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.389886:0.768325:0.397349:0.768325:0.397349:0.751964:0.389886:0.751964:0.000000
1:@0.397349:0.771485:0.402592:0.771485:0.402592:0.762350:0.397349:0.762350:0.000000
 <  ; entonces,  ( ) >  ( ):@0.402593:0.768322:0.610113:0.768322:0.610113:0.752652:0.402593:0.752652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.421647:0.768322:0.429110:0.768322:0.429110:0.751960:0.421647:0.751960:0.000000
2:@0.429110:0.771485:0.434353:0.771485:0.434353:0.762350:0.429110:0.762350:0.000000
x:@0.536310:0.768322:0.543774:0.768322:0.543774:0.751960:0.536310:0.751960:0.000000
1:@0.543774:0.771485:0.549016:0.771485:0.549016:0.762350:0.543774:0.762350:0.000000
x:@0.592523:0.768322:0.599986:0.768322:0.599986:0.751960:0.592523:0.751960:0.000000
2:@0.599986:0.771485:0.605229:0.771485:0.605229:0.762350:0.599986:0.762350:0.000000
Una función es constante en un :@0.650771:0.714968:0.898197:0.714968:0.898197:0.699298:0.650771:0.699298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalo, para todo valor::@0.650771:0.731564:0.837331:0.731564:0.837331:0.715895:0.650771:0.715895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.662639:0.768325:0.670102:0.768325:0.670102:0.751964:0.662639:0.751964:0.000000
1:@0.670108:0.771485:0.675351:0.771485:0.675351:0.762350:0.670108:0.762350:0.000000
 <  ; entonces,  ( ) = :@0.675352:0.768322:0.845714:0.768322:0.845714:0.752652:0.675352:0.752652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.694406:0.768322:0.701869:0.768322:0.701869:0.751960:0.694406:0.751960:0.000000
2:@0.701869:0.771485:0.707112:0.771485:0.707112:0.762350:0.701869:0.762350:0.000000
x:@0.809070:0.768322:0.816533:0.768322:0.816533:0.751960:0.809070:0.751960:0.000000
1:@0.816533:0.771485:0.821775:0.771485:0.821775:0.762350:0.816533:0.762350:0.000000
( ):@0.860399:0.768322:0.882268:0.768322:0.882268:0.752002:0.860399:0.752002:0.000000:0.000000:0.000000
x:@0.865190:0.768322:0.872653:0.768322:0.872653:0.751960:0.865190:0.751960:0.000000
2:@0.872653:0.771485:0.877477:0.771485:0.877477:0.761971:0.872653:0.761971:0.000000
( ):@0.129762:0.798485:0.143859:0.798485:0.143859:0.785665:0.129762:0.785665:0.000000:0.000000:0.000000
x:@0.133757:0.798485:0.139863:0.798485:0.139863:0.785099:0.133757:0.785099:0.000000
x:@0.329066:0.924248:0.335173:0.924248:0.335173:0.910862:0.329066:0.910862:0.000000
0:@0.138280:0.923117:0.145638:0.923117:0.145638:0.910296:0.138280:0.910296:0.000000
( ):@0.127252:0.898159:0.145638:0.898159:0.145638:0.885339:0.127252:0.885339:0.000000:0.000000:0.000000
x:@0.131247:0.898159:0.137354:0.898159:0.137354:0.884773:0.131247:0.884773:0.000000
1:@0.137354:0.900748:0.141643:0.900748:0.141643:0.893273:0.137354:0.893273:0.000000
( ):@0.127252:0.825189:0.145638:0.825189:0.145638:0.812369:0.127252:0.812369:0.000000:0.000000:0.000000
x:@0.131247:0.825189:0.137354:0.825189:0.137354:0.811803:0.131247:0.811803:0.000000
2:@0.137354:0.827778:0.141643:0.827778:0.141643:0.820303:0.137354:0.820303:0.000000
x:@0.200117:0.933135:0.206223:0.933135:0.206223:0.919749:0.200117:0.919749:0.000000
1:@0.206223:0.933135:0.209389:0.933135:0.209389:0.920314:0.206223:0.920314:0.000000
x:@0.250138:0.933135:0.256244:0.933135:0.256244:0.919749:0.250138:0.919749:0.000000
2:@0.256244:0.933135:0.260556:0.933135:0.260556:0.920314:0.256244:0.920314:0.000000
( ):@0.403998:0.798485:0.418095:0.798485:0.418095:0.785665:0.403998:0.785665:0.000000:0.000000:0.000000
x:@0.407994:0.798485:0.414100:0.798485:0.414100:0.785099:0.407994:0.785099:0.000000
x:@0.601826:0.924248:0.607932:0.924248:0.607932:0.910862:0.601826:0.910862:0.000000
0:@0.410738:0.923117:0.418095:0.923117:0.418095:0.910296:0.410738:0.910296:0.000000
( 2):@0.399686:0.905794:0.418095:0.905794:0.418095:0.892973:0.399686:0.892973:0.000000:0.000000:0.000000:0.000000
x:@0.403682:0.905794:0.409788:0.905794:0.409788:0.892407:0.403682:0.892407:0.000000
( 1):@0.400832:0.879287:0.418095:0.879287:0.418095:0.866466:0.400832:0.866466:0.000000:0.000000:0.000000:0.000000
x:@0.404828:0.879287:0.410934:0.879287:0.410934:0.865901:0.404828:0.865901:0.000000
x:@0.469973:0.932732:0.476079:0.932732:0.476079:0.919346:0.469973:0.919346:0.000000
1:@0.476079:0.932732:0.479245:0.932732:0.479245:0.919911:0.476079:0.919911:0.000000
x:@0.524930:0.933135:0.531037:0.933135:0.531037:0.919749:0.524930:0.919749:0.000000
2:@0.531037:0.933135:0.535349:0.933135:0.535349:0.920314:0.531037:0.920314:0.000000
( ):@0.724624:0.798485:0.738721:0.798485:0.738721:0.785665:0.724624:0.785665:0.000000:0.000000:0.000000
x:@0.728620:0.798485:0.734726:0.798485:0.734726:0.785099:0.728620:0.785099:0.000000
x:@0.880507:0.924090:0.886613:0.924090:0.886613:0.910703:0.880507:0.910703:0.000000
0:@0.733640:0.923117:0.740998:0.923117:0.740998:0.910296:0.733640:0.910296:0.000000
( 1) =:@0.675647:0.870137:0.705198:0.870137:0.705198:0.857316:0.675647:0.857316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.679642:0.870137:0.685748:0.870137:0.685748:0.856750:0.679642:0.856750:0.000000
 :@0.705198:0.870137:0.707912:0.870137:0.707912:0.856750:0.705198:0.856750:0.000000
( 2):@0.722599:0.870137:0.741008:0.870137:0.741008:0.857316:0.722599:0.857316:0.000000:0.000000:0.000000:0.000000
x:@0.726594:0.870137:0.732700:0.870137:0.732700:0.856750:0.726594:0.856750:0.000000
x:@0.792885:0.933135:0.798991:0.933135:0.798991:0.919749:0.792885:0.919749:0.000000
1:@0.798991:0.933135:0.802158:0.933135:0.802158:0.920314:0.798991:0.920314:0.000000
x:@0.845462:0.933135:0.851569:0.933135:0.851569:0.919749:0.845462:0.919749:0.000000
2:@0.851569:0.933135:0.855881:0.933135:0.855881:0.920314:0.851569:0.920314:0.000000
Definición de funciones creciente, decreciente y constante:@0.098223:0.688522:0.643129:0.688522:0.643129:0.668548:0.098223:0.668548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Si los valores de f( ) :@0.733044:0.165150:0.879678:0.165150:0.879678:0.150905:0.733044:0.150905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.864785:0.165150:0.871569:0.165150:0.871569:0.150276:0.864785:0.150276:0.000000
van en aumento, la :@0.747283:0.180238:0.878302:0.180238:0.878302:0.165993:0.747283:0.165993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función es creciente :@0.747283:0.195325:0.885422:0.195325:0.885422:0.181080:0.747283:0.181080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en ese intervalo.:@0.747283:0.210413:0.855603:0.210413:0.855603:0.196168:0.747283:0.196168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Si los valores de f( ) :@0.733044:0.227638:0.879678:0.227638:0.879678:0.213393:0.733044:0.213393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.864785:0.227638:0.871569:0.227638:0.871569:0.212764:0.864785:0.212764:0.000000
van disminuyendo, :@0.747283:0.242726:0.877733:0.242726:0.877733:0.228481:0.747283:0.228481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la función es :@0.747283:0.257813:0.834949:0.257813:0.834949:0.243568:0.747283:0.243568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decreciente en ese :@0.747283:0.272901:0.876761:0.272901:0.876761:0.258656:0.747283:0.258656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalo.:@0.747283:0.287989:0.808664:0.287989:0.808664:0.273743:0.747283:0.273743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función puede ser :@0.733044:0.305214:0.888741:0.305214:0.888741:0.290968:0.733044:0.290968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
totalmente creciente o :@0.733044:0.320301:0.888940:0.320301:0.888940:0.306056:0.733044:0.306056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decreciente.:@0.733044:0.335389:0.814660:0.335389:0.814660:0.321144:0.733044:0.321144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabías que?:@0.765616:0.140639:0.867484:0.140639:0.867484:0.123739:0.765616:0.123739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Costo:@0.172339:0.432887:0.197728:0.432887:0.197728:0.422476:0.172339:0.422476:0.000000:0.000000:0.000000:0.000000:0.000000
Año:@0.552378:0.600681:0.570683:0.600681:0.570683:0.590269:0.552378:0.590269:0.000000:0.000000:0.000000
A:@0.276626:0.552439:0.287904:0.552439:0.287904:0.535815:0.276626:0.535815:0.000000
B:@0.319434:0.530449:0.329422:0.530449:0.329422:0.513825:0.319434:0.513825:0.000000
C:@0.360122:0.540891:0.370810:0.540891:0.370810:0.524267:0.360122:0.524267:0.000000
D:@0.396130:0.509192:0.408402:0.509192:0.408402:0.492568:0.396130:0.492568:0.000000
E:@0.440356:0.482001:0.449422:0.482001:0.449422:0.465377:0.440356:0.465377:0.000000
F:@0.498458:0.458946:0.507433:0.458946:0.507433:0.442322:0.498458:0.442322:0.000000
G:@0.539699:0.495113:0.551604:0.495113:0.551604:0.478489:0.539699:0.478489:0.000000
2015:@0.268738:0.596002:0.293221:0.596002:0.293221:0.584203:0.268738:0.584203:0.000000:0.000000:0.000000:0.000000
2017:@0.352585:0.596002:0.377068:0.596002:0.377068:0.584203:0.352585:0.584203:0.000000:0.000000:0.000000:0.000000
2018:@0.394972:0.596002:0.419456:0.596002:0.419456:0.584203:0.394972:0.584203:0.000000:0.000000:0.000000:0.000000
2019:@0.437360:0.596002:0.461843:0.596002:0.461843:0.584203:0.437360:0.584203:0.000000:0.000000:0.000000:0.000000
2020:@0.481801:0.596002:0.506284:0.596002:0.506284:0.584203:0.481801:0.584203:0.000000:0.000000:0.000000:0.000000
2021:@0.523037:0.596002:0.547520:0.596002:0.547520:0.584203:0.523037:0.584203:0.000000:0.000000:0.000000:0.000000
2016:@0.311531:0.596002:0.336014:0.596002:0.336014:0.584203:0.311531:0.584203:0.000000:0.000000:0.000000:0.000000
0,25:@0.221225:0.557804:0.235712:0.557804:0.235712:0.549458:0.221225:0.549458:0.000000:0.000000:0.000000:0.000000
0,35:@0.221225:0.510749:0.235712:0.510749:0.235712:0.502403:0.221225:0.502403:0.000000:0.000000:0.000000:0.000000
0,50:@0.221225:0.439094:0.235712:0.439094:0.235712:0.430748:0.221225:0.430748:0.000000:0.000000:0.000000:0.000000
y:@0.240616:0.418153:0.244973:0.418153:0.244973:0.409807:0.240616:0.409807:0.000000
x:@0.572128:0.581383:0.576411:0.581383:0.576411:0.573037:0.572128:0.573037:0.000000
0,45:@0.221234:0.463437:0.235721:0.463437:0.235721:0.455091:0.221234:0.455091:0.000000:0.000000:0.000000:0.000000
0,40:@0.221234:0.486732:0.235721:0.486732:0.235721:0.478386:0.221234:0.478386:0.000000:0.000000:0.000000:0.000000
0,30:@0.221234:0.534057:0.235721:0.534057:0.235721:0.525712:0.221234:0.525712:0.000000:0.000000:0.000000:0.000000
Ingresa :@0.733044:0.464021:0.787740:0.464021:0.787740:0.448908:0.733044:0.448908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al siguiente :@0.787740:0.464021:0.867800:0.464021:0.867800:0.449776:0.787740:0.449776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace para conocer :@0.733044:0.479108:0.872122:0.479108:0.872122:0.464863:0.733044:0.464863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más ejemplos de :@0.733044:0.494196:0.850378:0.494196:0.850378:0.479951:0.733044:0.479951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones.:@0.733044:0.509284:0.801276:0.509284:0.801276:0.495038:0.733044:0.495038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/10m10:@0.733044:0.531500:0.831196:0.531500:0.831196:0.516375:0.733044:0.516375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.747853:0.438391:0.898755:0.438391:0.898755:0.421490:0.747853:0.421490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000