Surjective Function

A surjective function is a function whose image is equal to its codomain. Equivalently, a function f with domain X and codomain Y is surjective if for every y in Y there exists at least one x in X with . Surjections are sometimes denoted by a two-headed rightwards arrow, as in f : X ↠ Y.

Symbolically,

Let, then is said to be surjective if

Read more about Surjective Function:  Examples, Properties

Famous quotes containing the word function:

    ““... The state’s one function is to give.
    The bud must bloom till blowsy blown
    Its petals loosen and are strown;
    And that’s a fate it can’t evade
    Unless ‘twould rather wilt than fade.””
    —Robert Frost (1874–1963)