range

Let $R$ be a binary relation. Then the set of all $y$ such that $xRy$ for some $x$ is called the range of $R$. That is, the range of $R$ is the set of all second coordinates in the ordered pairs of $R$.

In of functions, this means that the range of a function is the full set of values it can take on (the outputs), given the full set of parameters (the inputs). Note that the range is a subset of the codomain.

Title	range
Canonical name	Range
Date of creation	2013-03-22 12:00:51
Last modified on	2013-03-22 12:00:51
Owner	akrowne (2)
Last modified by	akrowne (2)
Numerical id	6
Author	akrowne (2)
Entry type	Definition
Classification	msc 03E20