Graph the function $LaTeX: \displaystyle f(x)=\begin{cases} - \frac{4 x}{5} - 5,& x \leq -2\\ 5 - \frac{x^{2}}{5},& -2 < x < 2\\ x - 7,& x \geq 2 \\ \end{cases}$

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