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BITSAT2016MathematicsContinuity and DifferentiabilityActual

The number of points at which the function f ( x )= 1 | x | is discontinuous is:

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

C. 3

Step-by-step solution

The function |x| is not defined at x=0 , so, x =0 is a point of discontinuity. Also for f ( x ) to be defined, | x | 0 x 1 Hence, 0,1,-1 are three points of discontinuity.

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