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This table shows the input and output values for an exponential function f(x)

What are the ratios of outputs for any two inputs that are 1 apart?

A. 1/2

B. 4

C. 1/8

D. 2

x −3, −2, −1, 0, 1, 2, 3

f(x) 1/256, 1/64, 1/16, 1/4, 1, 4, 16

Respuesta :

InesWalston

Answer:

B. 4

Step-by-step explanation:

This table that shows the input and output values for an exponential function f(x) is,

x                -3          -2       -1      0      1      2       3

f(x)          1/256      1/64    1/16   1/4    1     4       16

Taking [tex]x=2[/tex] and [tex]x=3[/tex] as input (because they are 1 apart), the ratio of output is,

[tex]=\dfrac{f(3)}{f(2)}[/tex]

[tex]=\dfrac{16}{4}[/tex]

[tex]=4[/tex]

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