Answer
See below.
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 left, then shift 2 units up. See graph.
Step 2. We can determine the domain is $(-\infty,\infty)$; the range is $(2,\infty)$; and the horizontal asymptote is $y=2$.
