Answer
See graph.
domain $(-\infty,\infty)$, range $(-1,\infty)$, H.A. $y=-1$.
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 $(-\infty,\infty)$, range $(-1,\infty)$, horizontal asymptote H.A. $y=-1$.