JEE Math Practice Question

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

1. A.equals $$\left\{ { - 2, - 1,1,2} \right\}$$
2. B.equals $$\left\{ { - 2, - 1,0,1,2} \right\}$$
3. C.equals $$\left\{ { - 2,2} \right\}$$
4. D.is an empty set