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NDA 2018
Exam
NDA
Year
2018
Subject
Mathematics
Chapter
Continuity and Differentiability

NDA 2018 · Mathematics · Continuity and Differentiability

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

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

Options

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

Correct answer

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

Step-by-step solution

Given function is continuous at x=0x=0 and 1.
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