Let \(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}}{{\rm{max}}\left\{ {\left| x \right|,{x^2}} \right\},}&{\left| x \right| \le 2}\\{8 - 2\left| x \right|,}&{2 < \left| x \right| \le 4}\end{array}} \right.\)Let S be the set of points in the interval (-4, 4) at which f is not differentiable. Then S:

Let \(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}}{{\rm{max}}\

1.	Let \(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}}{{\rm{max}}\left\{ {\left\| x \right\|,{x^2}} \right\},}&{\left\| x \right\| \le 2}\\{8 - 2\left\| x \right\|,}&{2 < \left\| x \right\| \le 4}\end{array}} \right.\)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, 0, 1, 2}
C.	Equals {-2, -1, 1, 2}
D.	Equals {-2, 2}
Answer» C. Equals {-2, -1, 1, 2}

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