Question bank/JEE Main/Mathematics

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

AIs and empty setBEqualsCEqualsDEquals

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[IMAGE] From the graph we can easily conclude that f(x) is non-derivable at x =
-2, -1, 0, 1,2

Source: Grass-G / M-22 Mathematics Paper 19 Dec Eng.docx