Answer
a) W; b) yes
Work Step by Step
We are given the function:
$f(x)=\begin{cases}
|x+1|,-2\leq x\leq 0\\
|x-1|,0\lt x\leq 2
\end{cases}$
a) Graph the function:
It resembles the letter W.
b) The function is symmetrical with respect to the $y$-axis, therefore it is even.