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

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

Answer: Neither one-one nor onto.

  • A One-one but not onto
  • B Onto but not one-one
  • C Bijective
  • D Neither one-one nor onto

Correct answer: D. Neither one-one nor onto

Explanation: f(2) = f(−2) breaks injectivity, and no negative number is attained so it is not onto ℝ.

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 →