Answer
domain: $(-\infty,\infty)$
range: $(0,\infty)$
asymptote: $ y=0$
Work Step by Step
$ g(x)=e^{x+1}=f(x+1)$, so its graph is obtained by
shifting the graph of $ f(x)$ left by 1 unit (the asymptote remains $ y=0$ ).
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: $(0,\infty)$
asymptote: $ y=0$
