Graph the function $LaTeX: \displaystyle f(x)=\begin{cases} \frac{4 x}{5} + 8,& x \leq -2\\ 9 - \frac{\left(x - 5\right)^{2}}{5},& -2 < x < 5\\ \frac{3 x}{5} + 3,& x \geq 5 \\ \end{cases}$

The graph has three parts. It is a line on $LaTeX: \displaystyle (-\infty, -2]$ , a parabola on $LaTeX: \displaystyle (-2,5)$ , and a line on $LaTeX: \displaystyle [5, \infty)$ . Graphing each part gives: