## Precalculus (6th Edition) Blitzer

$f(x)=\left ( \frac{1}{2} \right)^x$: The red graph $g(x)=\left ( \frac{1}{2} \right)^{x-1}$: The blue graph
$y=0$ is the horizontal asymptote for both functions $f$ and $g$. The domain of the functions are$$D_f=(- \infty, \infty ), \qquad D_g = (-\infty, \infty ).$$The range of the functions are$$R_f=(0, \infty ), \qquad R_g=(0, \infty ).$$