Answer
$a) f(-2)=4 \\ b) f(0)=2 \\ c) f(2)=5$
Work Step by Step
In order to find $f(-2), f(0), f(2)$, we will plug in the $x$ values into the piece of the graph whose interval includes that $x$ value.
$a) f(-2)=(-2)^{2}=2^2=4 \\ b) f(0)=2 \\ c) f(2)=(2)(2)+1=5$