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Sets, Relations and Functions: Types of functions MCQ

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Types of functionsEasyQuestion 410003

Question

A function f: A → B is bijective if it is:
  1. A
    Both injective (one-one) and surjective (onto)
    Correct
  2. B
    Only injective
  3. C
    Only surjective
  4. D
    Neither

Correct answer

Both injective (one-one) and surjective (onto)

Explanation

Bijective = one-one AND onto. Injective (one-one): f(x₁) = f(x₂) → x₁ = x₂. Surjective (onto): every element in B has a pre-image in A. Bijective functions have inverses.

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