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📐 Mathematics  ·  Relations and Functions  ·  JEE

The function f: R → R given by f(x) = x² is:

Answer: neither injective nor surjective.

  • A injective only
  • B surjective only
  • C bijective
  • D neither injective nor surjective

Correct answer: D. neither injective nor surjective

Explanation: It is not one-one (f(−1) = f(1)) and not onto (negatives are never attained), so neither.

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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