Answer
Domain: (-∞, ∞)
Range: (0, ∞)
Asymptote: y = 0
See graph below
Work Step by Step
This problem just asks for the graph of the function, domain, range, and asymptote.
Given $f(x) = 3^{x-2}$
The graph in black represents $3^x$
$f(x)$ (in red) is a transformation of 2 units to the right
Domain: (-∞, ∞)
Range: (0, ∞)
Asymptote: y = 0