Determine if the function is a power function. If it is, then state the power and constant of variation.
-$$f ( x ) = 5 x ^ { 2 / 5 }$$
A) Power is $\frac { 2 } { 5 }$; constant of variation is 5
B) Power is $\frac { 5 } { 2 }$; constant of variation is 5
C) Not a power function
D) Power is 5; constant of variation is $\frac { 2 } { 5 }$

Question

Quizplus · Accepted Answer

The function $f(x) = 5x^{2/5}$ is a power function because it can be written in the form $f(x) = kx^n$, where $k$ (the constant of variation) is 5 and $n$ (the power) is $\frac{2}{5}$.

Determine If the Function Is a Power Function f(x)=5x2/5f ( x ) = 5 x ^ { 2 / 5 }f(x)=5x2/5

Determine If the Function Is a Power Function $f ( x ) = 5 x ^ { 2 / 5 }$