For the function $f$, for every increase of $2$ in the value of $x$ t…

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) = 48 (2)^{6 x}

f (x) = 48 (8)^{2 x}

f (x) = 48 (64)^{x}

f (x) = 48 (4, 096)^{\frac{x}{12}}

f (x) = 48 (4, 096)^{\frac{x}{2}}