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

Question

Let $$f\left( x \right) = \left\{ {\matrix{ {\max \left\{ {\left| x \right|,{x^2}} \right\}} & {\left| x \right| \le 2} \cr {8 - 2\left| x \right|} & {2 < \left| x \right| \le 4} \cr } } \right.$$

Let S be the set of points in the interval (– 4, 4) at which f is not differentiable. Then S

equals $\left\{ { - 2, - 1,1,2} \right\}$

equals $\left\{ { - 2, - 1,0,1,2} \right\}$

equals $\left\{ { - 2,2} \right\}$

is an empty set

Solution

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