View source for Range of values

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''of a function, set of values of a function, image of a function''

The set of all elements which a given function puts into correspondence with the elements of its domain of definition; that is, if $f : X \rightarrow Y$, then the set of values of $f$ is the set $Y_f$ of all $y \in Y$ for which there exists an $x \in X$ with $f(x) = y$. Thus, the range of values of a function is the image of its [[domain of definition]], $Y_f = f(X)$.

See also [[Image of a morphism]].

{{SourceattributionEOM|Range of values}}
[[Category:Mathematics]]