Graph the function $LaTeX: \displaystyle f(x)=\begin{cases} x + 9,& x \leq -3\\ 7 - \frac{3 \left(x - 1\right)^{2}}{5},& -3 < x < 3\\ \frac{x}{5} + 6,& x \geq 3 \\ \end{cases}$

The graph has three parts. It is a line on $LaTeX: \displaystyle (-\infty, -3]$ , a parabola on $LaTeX: \displaystyle (-3,3)$ , and a line on $LaTeX: \displaystyle [3, \infty)$ . Graphing each part gives: