Exponential Functions Worksheet

Sample problems

Show your work in the space provided. An exponential function has the form $y=a\cdot b^x$, where $a$ is the starting value and $b$ is the growth or decay factor.

1. 1. Does $y=5\cdot 3^x$ represent exponential growth or decay? How can you tell?
2. 2. Does $y=8\cdot {\left(\frac{1}{2}\right)}^x$ represent exponential growth or decay? How can you tell?
3. 3. In the function $y=7\cdot 2^x$, identify the starting value $a$ and the base $b$.
4. 4. Evaluate $y=4\cdot 2^x$ when $x=3$.

Plus 10 more problems and a full answer key in the PDF.