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📐 Mathematics  ·  Relations and Functions  ·  JEE

If f: R to R is defined by f(x) = |x|, then f is:

Answer: Neither injective nor surjective.

  • A Injective but not surjective
  • B Surjective but not injective
  • C Both injective and surjective
  • D Neither injective nor surjective

Correct answer: D. Neither injective nor surjective

Explanation: f(2) = f(-2) = 2, so not injective. Also range = [0, inf), not all of R, so not surjective.

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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