Determine if the function is a power function. If it is, then state the power and constant of variation.
-$$f ( x ) = 6 x ^ { - 3 / 4 }$$
A) Power is $- \frac { 3 } { 4 } ;$ constant of variation is 6
B) Power is 6; constant of variation is $- \frac { 3 } { 4 }$
C) Power is $\frac { 3 } { 4 }$; constant of variation is 6
D) Not a power function

Question

Quizplus · Accepted Answer

The function $f(x) = 6x^{-3/4}$ is a power function because it can be written in the form $f(x) = kx^n$, where $k$ (the constant of variation) is 6 and $n$ (the power) is $-\frac{3}{4}$.

Determine If the Function Is a Power Function f(x)=6x−3/4f ( x ) = 6 x ^ { - 3 / 4 }f(x)=6x−3/4

Determine If the Function Is a Power Function $f ( x ) = 6 x ^ { - 3 / 4 }$