Graph the function $LaTeX: \displaystyle f(x)=\begin{cases} - 2 x - 10,& x \leq -5\\ 10 - \left(x + 1\right)^{2},& -5 < x < 3\\ 1 - \frac{4 x}{5},& x \geq 3 \\ \end{cases}$

The graph has three parts. It is a line on $LaTeX: \displaystyle (-\infty, -5]$ , a parabola on $LaTeX: \displaystyle (-5,3)$ , and a line on $LaTeX: \displaystyle [3, \infty)$ . Graphing each part gives: