Answer
$\left[\begin{array}{lll}
& f(x)=(\frac{1}{2})^{x} & g(x)=(\frac{1}{2})^{x-1}\\
domain & (-\infty,\infty) & (-\infty,\infty)\\
range & (0,\infty) & (0,\infty)\\
asymptote & y=0 & y=0
\end{array}\right]$
Work Step by Step
1.Create a table for graphing f(x),
plot several points and join with a smooth curve.
2. The graph g(x) is obtained from f(x)
by shifting f(x) right by 1 unit.
(the asymptote remains)
3. Read the graph for :
$\left[\begin{array}{lll}
& f(x)=(\frac{1}{2})^{x} & g(x)=(\frac{1}{2})^{x-1}\\
domain & (-\infty,\infty) & (-\infty,\infty)\\
range & (0,\infty) & (0,\infty)\\
asymptote & y=0 & y=0
\end{array}\right]$
