## Precalculus: Mathematics for Calculus, 7th Edition

domain: $(-\infty,\infty)$ range: $(0,\infty)$ asymptote: $y=0$(the x-axis)
1. Start with $f_{1}(x)=3^{x}$ as a parent function (blue, dashed on the image below) Select several values for x, calculate $3^{x}$ for each, plot the points and connect with a smooth curve) 2. $f(x)=3^{x-2}=f_{1}(x-2)$, so the graph of f (red) is obtained from the graph of $f_{1}(x)$ by shifting it to the right by 2 units. (Shift the points (used for 1.) 2 units.to the right, and plot the curve)