Chapter 4 - Exponential and Logarithmic Functions - Section 4.3 Exponential Functions - 4.3 Assess Your Understanding - Page 306: 48

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

Step 1. To obtain the graph of $f(x)=-3^{x}+1$ from $y=3^x$, reflect the curve across the x-axis, then shift 1 unit up. See graph. Step 2. We can determine the domain $(-\infty,\infty)$, range $(-\infty,1)$, horizontal asymptote H.A. $y=1$.