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Let $f(x) = \begin{cases} \max{|x|, x^2}, & |x| \leq 2 \ 8 - 2|x|, & 2 < |x| \leq 4 \end{cases}$
Let $S$ be the set of points in the interval $(-4, 4)$ at which $f$ is not differentiable. Then $S$:
(1) is an empty set
(2) equals ${-2, -1, 0, 1, 2}$
(3) equals ${-2, -1, 1, 2}$
(4) equals ${-2, 2}$
BETA
