Answer
$a.\quad-5$
$b.\quad 1$
$c.\quad 21$
Work Step by Step
$ a.\quad$
$x=-5$ belongs to the interval $x<0$,
so we calculate its function value with $f(x)=x$
$f(-5)=-5$
$ b.\quad$
$x=0$ belongs to the interval $x\geq 0$,
so we calculate its function value with $f(x)=2x+1$
$f(0)=2(0)+1=1$
$ c.\quad$
$x=10$ belongs to the interval $x\geq 0$,
so we calculate its function value with $f(x)=2x+1$
$f(10)=2(10)+1=21$