Let \( f(x)=\left\{\begin{array}{cc}\max \left\{|x|, x^{2}\right\}, & |x| \leq 2 \\ 8-2|x|, & 2|... VIDEO
Let \( f(x)=\left\{\begin{array}{cc}\max \left\{|x|, x^{2}\right\}, & |x| \leq 2 \\ 8-2|x|, & 2|x| \leq 4\end{array}\right. \)
Let \( s \) be the set of points in the interval \( (-4,4) \) at which \( f \) is not differentiable. Then \( s \) ?
(a) Is an empty set
(b) Equals \( \{-2,-1,1,2\} \)
(c) Equals \( \{-2,-1,0,1,2\} \)
(d) Equals \( \{-2,2\} \)
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