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Let $f(x) = \begin{cases} -1, & -2 \leq x < 0 \ x^2 - 1, & 0 \leq x \leq 2 \end{cases}$ and $g(x) = |f(x)| + f(|x|)$. Then, in the interval $(-2, 2)$, $g$ is:
(1) differentiable at all points
(2) not continuous
(3) not differentiable at two points
(4) not differentiable at one point
BETA
