Answer
a) -1; b) 2; c) 6
Work Step by Step
We are given the function:
$f(x)=\begin{cases}
2x+1,x\lt 0\\
2x+2,x\geq 0
\end{cases}$
a) Compute $f(-1)$:
As $-1\lt 0$, we have:
$f(-1)=2(-1)+1=-1$
b) Compute $f(0)$:
As $0\gt 0$, we have:
$f(0)=2(0)+2=2$
c) Compute $f(2)$:
As $2\gt 0$, we have:
$f(2)=2(2)+2=6$