View source for Image (mathematics)

In [[mathematics]], an '''image''' is the [[subset]] of a [[Function (mathematics)|function]]'s [[codomain]] which is the output of the function from a subset of its [[Domain of a function|domain]].

== Description ==

Evaluating a function at each element of a subset X of the domain, produces a set called the image of X under or through the function. The inverse image or preimage of a particular subset S of the codomain of a function is the set of all elements of the domain that map to the members of S.
Image and inverse image may also be defined for general binary relations, not just functions.

== See also ==

* [[Bijection]], [[injection]], and [[surjection]]
* [[Domain of a function]]
* [[Image (category theory)]]
* [[Kernel (set theory)]]
* [[Range (mathematics)]]
* [[Set inversion]]

== External links ==

* [https://en.wikipedia.org/wiki/Image_(mathematics) Image (mathematics)] @ Wikipedia.org 

[[Category:Mathematics]]