Determine if the function is a power function. If it is, then state the power and constant of variation.
-$$f ( x ) = - \frac { 3 } { 4 } x ^ { 5 }$$
A) Not a power function
B) Power is 5; constant of variation is $- \frac { 3 } { 4 }$
C) Power is $\frac { 3 } { 4 }$; constant of variation is 5
D) Power is 5; constant of variation is $\frac { 3 } { 4 }$

Question

Quizplus · Accepted Answer

A power function is of the form $f(x) = kx^n$, where $k$ is the constant of variation and $n$ is the power. Here, $k = -\frac{3}{4}$ and $n = 5$, matching the definition of a power function.

Determine If the Function Is a Power Function f(x)=−34x5f ( x ) = - \frac { 3 } { 4 } x ^ { 5 }f(x)=−43​x5

Determine If the Function Is a Power Function $f ( x ) = - \frac { 3 } { 4 } x ^ { 5 }$