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📐 Mathematics  ·  Relations and Functions  ·  JEE

The function f(x) = |x − 1| + |x − 2| fails to be differentiable at how many points?

Answer: 2.

  • A 1
  • B 2
  • C 3
  • D 0

Correct answer: B. 2

Explanation: There are corners at x = 1 and x = 2, giving 2 points of non-differentiability.

Concept context

Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.

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