Chapter 4 - Exponential Functions - 4.2 Comparing Exponential and Linear Functions - Exercises and Problems for Section 4.2 - Exercises and Problems - Page 154: 15

$ f(x)=10\cdot\left(\sqrt[3]2\right)^x $

We want to have $f(x)=a b^{x}$. The graph shows that the points $(0,10),(3,20)$ lie on the curve of $f(x)$. We must have $f(0)=a b^{0}=a= 10$ and so $f(x)=10 b^{x}$. But $f(3)=10 b^{3}= 20\implies b= 2^{1/3}= \sqrt[3]2\approx 1.26 $ It follows that $$ f(x)=10\cdot\left(\sqrt[3]2\right)^x\approx 10\cdot\left(1.26\right)^x $$