Graph the function $LaTeX: \displaystyle f(x)=\begin{cases} \frac{3 x}{5} + 7,& x \leq -2\\ \frac{4 \left(x - 2\right)^{2}}{5} - 8,& -2 < x < 4\\ \frac{3 x}{5} + 1,& x \geq 4 \\ \end{cases}$

The graph has three parts. It is a line on $LaTeX: \displaystyle (-\infty, -2]$ , a parabola on $LaTeX: \displaystyle (-2,4)$ , and a line on $LaTeX: \displaystyle [4, \infty)$ . Graphing each part gives: