Chapter 5.2, Problem 19SBE

Making Power Formulas In Exercises S-16 through S-19, find a power function $f\left(x\right)=c{x}^k$ that has the given properties.

$f\left(2\right)=16$. If $x$ is multiplied by $2$, $f\left(x\right)$ is multiplied by $8$.