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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

f(x) = cases 2(x + 1) & ; x -1 1 - x^2 & ; -1 < x < 1 | |x| - 1 | - 1 | & ; x 1 cases , then :

Options

  1. Af(x) is non-differentiable at exactly three points
  2. Bf(x) is continuous in (- , 1]
  3. Cf(x) is differentiable in (- , -1)
  4. Df(x) is finite type of discontinuity at x = 1 , but continuous at x = -1

Correct answer

A. f(x) is non-differentiable at exactly three points

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