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JEE Main202524 Jan 2025Evening ShiftMathematicsContinuity and DifferentiabilityActual

Let [x] denote the greatest integer function, and let m and n respectively be the numbers of the points, where the function f(x)=[x]+|x-2|,-2 x 3 , is not continuous and not differentiable. Then m + n is equal to :

Options

  1. A6
  2. B8
  3. C9
  4. D7

Correct answer

B. 8

Step-by-step solution

aligned & f(x)=[x]+|x-2|,-2 It is clearly discontinues at 4 points and nondifferentiable at 4 points. m+n=8

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