Answer
(a) $f(-5)=-3$
(b) $f(-1)=1$
(c) $f(0)=0$
(d) $f(3)=9$
Work Step by Step
We are given:
$f(x)=\left\{\begin{array}{l}
2+x~~~~~~~~\mathrm{i}\mathrm{f}\ x\lt -4\\
-x~~~~~~~~~~~~\mathrm{i}\mathrm{f}\ -4\leq x\leq 2\\
3x~~~~~~~~~~~~~\mathrm{i}\mathrm{f}\ x\gt 2
\end{array}\right.$
We evaluate by plugging in the $x$ values into the piece of the function that corresponds to the proper interval:
(a) $f(-5)=2+-5=-3$
(b) $f(-1)=-(-1)=1$
(c) $f(0)=-0=0$
(d) $f(3)=3*3=9$