Answer
Domain: (-∞, ∞)
Range: (1, ∞)
Asymptote: y = 1
See graph below
Work Step by Step
This problem just asks for the graph of the function, domain, range, and asymptote.
Given $f(x) = e^{x-1} + 1$
The graph in black represents $e^x$
$f(x)$ (in red) is a transformation of 1 unit to the right and up 1 unit
Domain: (-∞, ∞)
Range: (1, ∞)
Asymptote: y = 1