# Image (mathematics)

## Set of all values of a function / From Wikipedia, the free encyclopedia

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In mathematics, the **image** of a function is the set of all output values it may produce.

Algebraic structure → Group theoryGroup theory |
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More generally, evaluating a given function at each element of a given subset of its domain produces a set, called the "**image** of under (or through) ". Similarly, the **inverse image** (or **preimage**) of a given subset of the codomain of is the set of all elements of the domain that map to the members of

Image and inverse image may also be defined for general binary relations, not just functions.