Let $f(x)=\left\{\begin{array}{ll}\max \left\{|x|, x^2\right\}, & |x| \leq 2 \\ 8-2|x|, & 2<|x| \leq 4\end{array}\right\}$
Let $S$ be the set of points in the interval $(-4,4)$ at which $f$ is not differentiable. Then $S$
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