Determine if the function is a power function. If it is, then state the power and constant of variation.
-$$f ( x ) = 6 \cdot 7 ^ { x }$$
A) Not a power function
B) Power is 7; constant of variation is 6
C) Power is x; constant of variation is 42
D) Power is x; constant of variation is 6

Question

Quizplus · Accepted Answer

A power function has the form $f(x) = kx^n$, where $k$ is the constant of variation and $n$ is the power. The given function $f(x) = 6 \cdot 7^x$ does not fit this form because the variable $x$ is in the exponent of 7, not in the base being raised to a power.

Determine If the Function Is a Power Function f(x)=6⋅7xf ( x ) = 6 \cdot 7 ^ { x }f(x)=6⋅7x

Determine If the Function Is a Power Function $f ( x ) = 6 \cdot 7 ^ { x }$