Answer
See graph.
domain $(-\infty,\infty)$, range $(2,\infty)$, H.A. $y=2$.
Work Step by Step
Step 1. To obtain the graph of $f(x)=2+4^{x-1}$ from $y=4^x$, shift the curve 1 unit to the right, then shift 2 units up. See graph.
Step 2. We can determine the domain $(-\infty,\infty)$, range $(2,\infty)$, horizontal asymptote H.A. $y=2$.
