Answer
(a) $f(-5)=-7$
(b) $f(-1)=-3$
(c) $f(0)=-2$
(d) $f(3)=2$
Work Step by Step
We are given:
$f(x)=\left\{\begin{array}{l}
x-2\ ~~~~~~~~\mathrm{i}\mathrm{f}\ x\lt 3\\
5-x\ ~~~~~~~~\mathrm{i}\mathrm{f}\ x\geq 3
\end{array}\right.$
We evaluate by plugging in the $x$ values into the piece of the function that corresponds to the proper interval:
(a) $f(-5)=-5-2=-7$
(b) $f(-1)=-1-2=-3$
(c) $f(0)=0-2=-2$
(d) $f(3)=5-3=2$