Range of a function

In mathematics, the range of a function may refer to either of two closely related concepts:

The codomain of the function
The image of the function

$f$ is a function from domain X to codomain Y. The yellow oval inside Y is the image of $f$ . Sometimes "range" refers to the image and sometimes to the codomain.

Given two sets $X$ and $Y$ , a binary relation $f$ between $X$ and $Y$ is a (total) function (from $X$ to $Y$ ) if for every $x$ in $X$ there is exactly one $y$ in $Y$ such that $f$ relates $x$ to $y$ . The sets $X$ and $Y$ are called domain and codomain of $f$ , respectively. The image of $f$ is then the subset of $Y$ consisting of only those elements $y$ of $Y$ such that there is at least one $x$ in $X$ with $f (x) = y$ .

Range of a function

Subset of a function's codomain / From Wikipedia, the free encyclopedia

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