Functions:Forward Image

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

More generally, evaluating a given function Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f} at each element of a given subset {\displaystyle A}A of its domain produces a set, called the "image of {\displaystyle A}A under (or through) {\displaystyle f}f". Similarly, the inverse image (or preimage) of a given subset {\displaystyle B}B of the codomain of {\displaystyle f,}f, is the set of all elements of the domain that map to the members of {\displaystyle B.}B.

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

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