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NDA2018MathematicsContinuity and DifferentiabilityActual

If f(x)=|x|+|x-1| , then which one of the following is correct?

Options

  1. Af(x) is continuous at x=0 and x=1
  2. Bf(x) is continuous at x=0 but not at x=1
  3. Cf(x) is continuous at x=1 but not at x=0
  4. Df(x) is neither continuous at x=0 nor at x=1

Correct answer

A. f(x) is continuous at x=0 and x=1

Step-by-step solution

Given function is continuous at x=0 and 1 .

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