📈college algebra review

Relation

Written by the Fiveable Content Team • Last updated August 2025
Written by the Fiveable Content Team • Last updated August 2025

Definition

A relation is a set of ordered pairs where each element from the first set is associated with an element from the second set. It describes how elements from two sets are connected.

AP course connection

Topic 3.1: 3.1 Functions and Function Notation

Unit 3

5 Must Know Facts For Your Next Test

  1. A relation can be represented as a set of ordered pairs, a table, or a graph.
  2. The domain of a relation is the set of all possible input values (first elements).
  3. The range of a relation is the set of all possible output values (second elements).
  4. Not all relations are functions, but all functions are relations.
  5. A relation where each input has exactly one output is called a function.

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