codomain

Noun

 * 1)  The target set into which a function is formally defined to map elements of its domain; the set denoted Y in the notation f : X → Y.
 * 2) * 2006, Robert L. Causey, Logic, Sets, and Recursion, 2nd Edition,, page 192,
 * Once we have described $$f$$ as a function from $$A$$ to $$B$$, by convention we will call $$B$$ the codomain, even though other sets, of which $$B$$ is a subset, could have been used.If $$y$$ is an element of the codomain, then $$y\in\mathit{Img}(f,A)$$ iff there is some $$x$$ in the domain such that $$f$$ maps $$x$$ to $$y$$.
 * 1)  The set B.
 * 1)  The set B.
 * 1)  The set B.

Usage notes
The codomain always contains the image of the function (the actual set of points to which points of the domain are mapped), but is larger (i.e. strictly contains the image) if the function is not surjective.

The term is often synonymous with codomain, but can also be used as a synonym for image.

Translations

 * Czech: obor hodnot
 * Danish: dispositionsmængde
 * German: Zielmenge
 * Icelandic: aðmengi, ítak, bakmengi
 * Japanese:
 * Polish: przeciwdziedzina
 * Portuguese: contradomínio
 * Russian: область значений
 * Swedish: