### Home > PC3 > Chapter Ch8 > Lesson 8.1.1 > Problem8-13

8-13.

Copy and complete the following table for $g(x)=a^x$, where $a>0$.

 $g(x)=a^x$ $0 $a>1$ Example sketch $\lim \limits _ { x \rightarrow \infty } g ( x )$ $\lim \limits _ { x \rightarrow - \infty } g ( x )$

 $g(x)=a^x$ $0 $a>1$ Example sketch $g\left(x\right)=\left(\frac{1}{2}\right)^x$ $g\left(x\right)=2^x$ $\lim \limits _ { x \rightarrow \infty } g ( x )$ $\lim \limits _ { x \rightarrow - \infty } g ( x )$

The first curve is exponential decay. The second is exponential growth.