Answer
domain: $(-\infty,\infty)$
range: $(0,\infty)$
asymptote: $y=0 $(the x-axis)
Work Step by Step
1. Start with $f_{1}(x)=3^{x}$ as a parent function (blue, dashed on the image below)
Select several values for x, calculate $3^{x}$ for each,
plot the points and connect with a smooth curve)
2. $f(x)=3^{x-2}=f_{1}(x-2)$,
so the graph of f (red)
is obtained from the graph of $f_{1}(x)$ by
shifting it to the right by 2 units.
(Shift the points (used for 1.) 2 units.to the right, and plot the curve)
