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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.

is a function from domain to codomain The yellow oval inside is the image of

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.