Surjective Function

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a function is said to be surjective or onto if its range is equal to its codomain. A function f: X ¿ Y is surjective if and only if for every y in the codomain Y there is at least one x in the domain X such that f(x) = y. A surjective function is called a surjection. The term surjective and the related terms injective and bijective were introduced by Nicolas Bourbaki, a group of mainly French 20th-century mathematicians who wrote a series of books presenting an exposition of modern advanced mathematics, beginning in 1935. The French prefix sur means over or above and relates to the fact that the image of the domain of a surjective function completely covers the function's codomain.