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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Consider a function defined in [-2, 2] f(x) = cases x & -2 x < -1 | sgn x| & -1 x 1 -x & 1 < x 2 cases where denotes the fractional part function. The number of points for x [-2, 2] where f(x) is non-differentiable is :

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

D. 3

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