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JEE Main 2019 · 10 Jan · Shift I

JEE Main 2019 Mathematics question on Limits Continuity and Differentiability

Let f(x)={max⁡{∣x∣,x2},∣x∣≤28−2∣x∣,2<∣x∣≤4f(x) = \begin{cases} \max\{|x|, x^2\}, & |x| \leq 2 \\ 8 - 2|x|, & 2 < |x| \leq 4 \end{cases}

Let SS be the set of points in the interval (−4,4)(-4, 4) at which ff is not differentiable. Then, SS
  1. A.
    equals {−2,−1,0,1,2}\{-2, -1, 0, 1, 2\}
  2. B.
    equals {−2,2}\{-2, 2\}
  3. C.
    is an empty set
  4. D.
    equals {−2,−1,1,2}\{-2, -1, 1, 2\}
Show answer

Correct option: A

[JEE Main 2019 · 10 Jan · Shift I]

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