Answer
domain: $(-\infty,\infty)$
range: $(0,\infty)$
asymptote: $y=0 $(the x-axis)
Work Step by Step
1. Start with graphing $f_{1}(x)=2^{x}$
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.
$-x+1=-(x-1)$
The graph of f (red) is obtained from the graph of $f_{1}(x)$ by
$f_{2}(x)=f_{1}(-x)$, reflecting across the y-axis,
and then
$f(x)=f_{2}(x-1)$, shifting right by 1 unit.
domain: $(-\infty,\infty)$
range: $(0,\infty)$
asymptote: $y=0 $(the x-axis)