imo class 12 relations and functions

Let f : R → R be defined as f(x) = x². The function f is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

Let f : R → R be defined as f(x) = x². The function f is:

  • A. one-one and onto
  • B. one-one but not onto
  • C. onto but not one-one
  • D. neither one-one nor onto

Answer: D) neither one-one nor onto

Explanation: f(1) = 1 = f(−1) so not one-one. Negative real numbers are not in range since x² ≥ 0, so not onto.

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