Answered

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?

A1/2

B4

C1/8

D2

x −3, −2, −1, 0, 1, 2, 3


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

Verified Answer :

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

\(=\dfrac{f(3)}{f(2)}\)

\(=\dfrac{16}{4}\)

\(=4\)

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