Answer
See below.
Work Step by Step
Step 1. To obtain the graph of $f(x)=e^{x}-1$ from $y=e^{x}$, shift the curve 1 unit down. See graph.
Step 2. We can determine the domain is $(-\infty,\infty)$; the range is $(-1,\infty)$; and the horizontal asymptote is $y=-1$.
