For the function \(f\), for every increase of \(2\) in the value of \…

Question

Prompt

For the function

f

, for every increase of

2

in the value of

x

, the value of

f (x)

increases by a factor of

c

, where

c

is a constant. Which of the following equivalent forms of function

f

displays the value of

c

as the base or the coefficient?

f (x) = 42 (2)^{6 x}

f (x) = 42 (8)^{2 x}

f (x) = 42 (64)^{x}

f (x) = 42 (4, 096)^{\frac{x}{2}}