# 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 |