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

The graph has three parts. It is a line on $LaTeX: \displaystyle (-\infty, -5]$ , a parabola on $LaTeX: \displaystyle (-5,4)$ , and a line on $LaTeX: \displaystyle [4, \infty)$ . Graphing each part gives: