## Precalculus (6th Edition) Blitzer

domain: $(-\infty,\infty)$ range: $(2,\infty)$ asymptote: $y=2$
$h(x)=e^{x-1}+2=f(x-1)+2$, so its graph is obtained by shifting the graph of $f(x)$ rightward by 1 unit, and then up by 2 units (the asymptote moves to $y=2$ ) Perform the transformation on the points given on the graph of f, and join the new points with a smooth curve (red, solid line). domain: $(-\infty,\infty)$ range: $(2,\infty)$ asymptote: $y=2$