Question

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

Answer 1

The correct answer is B. 4

Explanation:

Answer 2

B. 4

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
`x=2` and
`x=3` as input (because they are 1 apart), the ratio of output is,

`=(f(3))/(f(2))`

`=(16)/(4)`

`=4`