Answer
$\left[\begin{array}{lll}
& f(x)=2^{x} & g(x)=2^{x}-3\\
domain & (-\infty,\infty) & (-\infty,\infty)\\
range & (0,\infty) & (-3,\infty)\\
asymptote & y=0 & y=-3
\end{array}\right]$
Work Step by Step
Steps:
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 it down by 3 units.
(the asymptote also moves down)
3. Read the graph for :
$\left[\begin{array}{lll}
& f(x)=2^{x} & g(x)=2^{x}-3\\
domain & (-\infty,\infty) & (-\infty,\infty)\\
range & (0,\infty) & (-3,\infty)\\
asymptote & y=0 & y=-3
\end{array}\right]$
