Graph the function $LaTeX: \displaystyle f(x)=\begin{cases} \frac{x}{5} - 6,& x \leq -5\\ 7 - \frac{x^{2}}{5},& -5 < x < 2\\ \frac{4 x}{5} - 4,& x \geq 2 \\ \end{cases}$

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