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Desafio de Funciones Exponenciales

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Desafio de Funciones Exponenciales

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Quiz sobre exponenciales

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Practica
Practica
Costa Rica

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Desafio de Funciones Exponenciales
 

Desafio de Funciones ExponencialesOnline version

Quiz sobre exponenciales

by Practica
1

Si y = 2^x, ¿cuál es y cuando x = 3?

2

Una función exponencial tiene base b mayor que 1. ¿Qué describe su comportamiento a medida que x aumenta?

3

Si y = (1/3)^x, ¿qué ocurre cuando x aumenta?

4

La gráfica de y = a·b^x es creciente si:

5

¿Cuál es el dominio de toda función exponencial real de la forma y = a·b^x?

6

¿Qué característica tienen las funciones exponenciales con base b>0, b≠1?

7

Si y = 3·2^x, ¿cuál es el y-intercepto (x=0)?

8

La inversa de una función exponencial creciente es:

9

Si se duplica la base de y = a·b^x, ¿qué le pasa al crecimiento?

10

Si y = 5·(1/2)^x, ¿cuál es el límite cuando x→∞?

Explicación

2^3 = 8; otras opciones no cumplen la definición.

Con b>1, 2^x crece al aumentar x.

La base 1/3 es fraccionaria; al crecer x, (1/3)^x se acerca a 0.

Crecimiento requiere base b>1 y amplitud positiva.

Las potencias están definidas para todo x real.

Todas pasan por (0,a) y no cruzan el eje Y.

2^0 = 1, así y=3·1=3.

La inversa de b^x es log_b(x).

Base mayor implica crecimiento más rápido.

(1/2)^x→0 cuando x→∞, así y→0.

 
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