Determine if the function is a power function. If it is, then state the power and constant of variation.
-$$f ( x ) = 5 x ^ { 3 / 7 }$$
A) Power is $\frac { 3 } { 7 } ;$ constant of variation is 5
B) Power is 5; constant of variation is $\frac { 3 } { 7 }$
C) Not a power function
D) Power is $\frac { 7 } { 3 } ;$ constant of variation is 5

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, $k = 5$ and $n = \frac{3}{7}$, matching option A.

Determine If the Function Is a Power Function f(x)=5x3/7f ( x ) = 5 x ^ { 3 / 7 }f(x)=5x3/7

Determine If the Function Is a Power Function $f ( x ) = 5 x ^ { 3 / 7 }$