Answer
domain: $(-\infty,\infty)$
range: $(2,\infty)$
asymptote: $ y=2$
Work Step by Step
$ h(x)=e^{x-1}+2=f(x-1)+2$, so its graph is obtained by
shifting the graph of $ f(x)$ rightward by 1 unit, and then up by 2 units (the asymptote moves to $ y=2$ )
Perform the transformation on the points given on the graph of f, and join the new points with a smooth curve (red, solid line).
domain: $(-\infty,\infty)$
range: $(2,\infty)$
asymptote: $ y=2$
