Exponential Functions Worksheet

Sample problems

Show your work in the space provided. An exponential function has the form $f(x)=a\cdot b^x$, where $a$ is the initial value and $b>0$ is the growth ($b>1$) or decay ($0<b<1$) factor.

1. 1. In the function $f(x)=6\cdot 4^x$, identify the initial value $a$ and the base $b$.
2. 2. Does $g(x)=250\cdot {\left(\frac{4}{5}\right)}^x$ represent exponential growth or decay? How can you tell?
3. 3. Evaluate $f(x)=5\cdot 2^x$ when $x=4$.
4. 4. Evaluate $f(x)=3\cdot 2^x$ when $x=-2$.

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