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📐 Mathematics  ·  Relations and Functions  ·  JEE

A function f: A to B is called onto (surjective) if:

Answer: Every element of B has at least one pre-image.

  • A Every element of A maps to a unique image in B
  • B Every element of B has at least one pre-image
  • C f is one-one, meaning distinct inputs give distinct outputs
  • D f(a) = a holds true for every single value of a

Correct answer: B. Every element of B has at least one pre-image

Explanation: Surjective (onto) means every element in the codomain B has at least one element in A mapping to it.

Concept context

Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.

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