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Funciones exponenciales
Funciones exponenciales f(x)=ab
x
Usando los deslizadores puedes cambiar los valores de a y b
Dada f(x)= ab
x
, si a=0 o b=0, la función f no es exponencial
¿Qué tipo de función es f,
si a=0 o b=0
?
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f es la función constante: y=0
Dada la función exponencial f(x)= ab
x
.
Halla el dominio de f
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Conjunto de los números reales
Dada la función exponencial f(x)= ab
x
con a>0.
Halla el rango de f
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{y:y>0}
Dada la función exponencial f(x)= ab
x
.
Toma valores de a con a<0.
Halla el rango de f
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{y:y<0}
Toma valores de b tales que 0<b<1
Dada la función exponencial f(x)= ab
x
con a>0 y 0
Describe el comportamiento final de la gráfica y determina si es monótona (creciente o decreciente)
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y
0 cuando x
; y
cuando x
-
f es monótona, decreciente
Dada la función exponencial f(x)= ab
x
con a>0 y
b>1
Describe el comportamiento final de la gráfica y determina si es monótona (creciente o decreciente)
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cuando
; y
0 cuando x
-
f es monótona, es creciente
Dada la función exponencial f(x)=ab
x
Halla el y-intercepto de f
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(0,a)
Dada
la función exponencial
f(x)=ab
x
Halla la (s) asíntota(s)
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y=0
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Information: Funciones exponenciales