Answer
(a) $f(-5)=10$
(b) $f(-1)=-4$
(c) $f(0)=-1$
(d) $f(3)=-12$
Work Step by Step
We are given:
$f(x)=\left\{\begin{array}{l}
-2x~~~~~~\mathrm{i}\mathrm{f}\ x\lt -3\\
3x-1~~~\mathrm{i}\mathrm{f}\ -3\leq x\leq 2\\
-4x~~~~~~~\mathrm{i}\mathrm{f}\ x\gt 2
\end{array}\right.$
We evaluate by plugging in the $x$ values into the piece of the function that corresponds to the proper interval:
(a) $f(-5)=-2(-5)=10$
(b) $f(-1)=3(-1)-1=-3-1=-4$
(c) $f(0)=3(0)-1=0-1=-1$
(d) $f(3)=-4(3)=-12$