Chapter 5 - Exponential and Logarithmic Functions - 5.3 Exponential Functions - 5.3 Assess Your Understanding - Page 281: 43

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

Step 1. To obtain the graph of $f(x)=2^x+1$ from $y=2^x$, shift the curve 1 unit up. See graph. Step 2. We can determine the domain is $(-\infty,\infty)$; the range is $(1,\infty)$; and the horizontal asymptote is $y=1$