CPM Homework Help : PC Problem 5-58

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

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

Hint:

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

More Help:

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