JEE Main2019Math
Q.
Let f\left( x \right) = \,\left\{ {\begin{array}{*{20}{c}} {\max \left\{ {\left| x \right|,{x^2}} \right\},}{\left| x \right| \leqslant 2} \\ {8 - 2\left| x \right|,}{2 < \left| x \right| \leqslant 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}
Solution
