Determine if the function is a power function. If it is, then state the power and constant of variation.
-$$f ( x ) = \frac { 1 } { 3 } x ^ { 2 }$$
A) Power is 2; constant of variation is $\frac { 1 } { 3 }$
B) Power is 2; constant of variation is 2
C) Power is $\frac { 1 } { 3 } ;$ constant of variation is 2
D) Not a power function

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, $k = \frac{1}{3}$ and $n = 2$, matching choice A.

Determine If the Function Is a Power Function f(x)=13x2f ( x ) = \frac { 1 } { 3 } x ^ { 2 }f(x)=31​x2

Determine If the Function Is a Power Function $f ( x ) = \frac { 1 } { 3 } x ^ { 2 }$