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📐 Mathematics  ·  Relations and Functions (Class 12)  ·  JEE

If f(x) = x³, then f : ℝ → ℝ is:

Answer: Bijective.

  • A Onto but not one-one
  • B Neither
  • C Bijective
  • D One-one but not onto

Correct answer: C. Bijective

Explanation: The cube function is strictly increasing and covers all reals, so it is both injective and surjective.

Concept context

Types of relations, equivalence classes, one-one and onto functions, composition, and invertible functions

Read the full Relations and Functions (Class 12) notes →