Answer
See graph.
domain $(-\infty,\infty)$, range $(-\infty,2)$, H.A. $y=2$.
Work Step by Step
Step 1. To obtain the graph of $f(x)=2-e^{-x/2}$ from $y=e^x$, stretch the curve horizontally by a factor of 2, reflect across the y-axis, reflect across the x-axis, then shift 2 units up. See graph.
Step 2. We can determine the domain $(-\infty,\infty)$, range $(-\infty,2)$, horizontal asymptote H.A. $y=2$.
