## Calculus 8th Edition

$f(x) =$ $\begin{cases} -2x-2 & -2 \leq x \lt -1 \\ \sqrt {1-x^{2}} & -1\leq x\leq 1 \\ \end{cases}$
The graphic of the function $-2x-2$ represents the only line that passes through the points (-2,2) and (-1,0) and and the graphic of the function $\sqrt {1-x^{2}}$ represents the top half of the circle with center the origin and radius 1. See the attached figure.