imo class 12 relations and functions

Let f : R → R be defined by f(x) = eˣ. The function is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

Let f : R → R be defined by f(x) = eˣ. The function 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: B) one-one but not onto

Explanation: f(x) = eˣ is strictly increasing → one-one. Range is (0, ∞) ≠ R → not onto.

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