In mathematics, a surjective function (also known as surjection, or onto function / ˈɒn.tuː /) is a function f such that, for every element y of the function's codomain, there exists at least one …

A function f (from set A to B) is surjective if and only if for every y in B, there is at least one x in A such that f (x) = y, in other words f is surjective if and only if f (A) = B.

Surjective function is defined with reference to the elements of the range set, such that every element of the range is a co-domain. A surjective function is a function whose image is equal …

Jul 23, 2025 · What is an Onto Function? An onto function, also known as a surjective function, is a special type of mathematical rule that connects two sets, let's call them Set A and Set B. In …

If a function is surjective, then the target set $B$ coincides exactly with its codomain. This means that whether a function is surjective depends on how the codomain is defined.

May 19, 2025 · Explore surjective functions in discrete mathematics, covering definitions, properties, proof strategies, examples, and problem-solving.

A surjective function is one in which every element of set B is associated with at least one element of set A. In a surjective function, the range is the same as the codomain.

A surjective function, also known as an onto function, is a mapping where every element in the codomain has at least one pre-image in the domain. In simple words, if each value in the …

To say that a function f: A → B is a surjection means that every b ∈ B is in the range of f, that is, the range is the same as the codomain, as we indicated above.

A function is surjective or onto if each element of the codomain is mapped to by at least one element of the domain. In other words, each element of the codomain has a non-empty …