Answer
$f(-3)=5$
$f(0)=5$
$f(2)=5$
$f(3)=3$
$f(5)=7$
Work Step by Step
Because x=-3, x=0, x=2 are in between $(-\infty,2]$ of $f(x)=5$
so $f(-3)=5$
$f(0)=5$
$f(2)=5$
x=5, x=3 are in between $(2,+\infty)$ of $f(x)=2x-3$
So $f(3)=2(3)-3=3$
$f(5)=2(5)-3=7$