Which of the following statements correctly describes a surjective (onto) function ?
MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
Which of the following statements correctly describes a surjective (onto) function f:A→B?
(a) No two distinct elements of the domain map to the same element of the co-domain.
(b) Every element of the domain maps to a unique element in the co-domain.
(c) Every element of the co-domain has at least one pre-image in the domain.
(d) The image (range) of the function is a proper subset of the co-domain.