## College Algebra (6th Edition)

please see graph (blue curve), asymptote of $g$:$\quad\quad y=-1$ domain of $g=(-\infty,\infty)$ range of $g=(-1,\infty)$
Graph $f(x)=e^{x}\qquad$ (red, dashed) by plotting the points from the table and connecting with a smooth curve. $g(x)=e^{x}+2= f(x)+2$ so the graph of $g(x)$ (blue) is obtained by shifting the graph of f(x) (red) down by 1 unit. Reading the graph, asymptote of $g$:$\quad\quad y=-1$ domain of $g=(-\infty,\infty)$ range of $g=(-1,\infty)$