Relation

Definition

A relation is a set of ordered pairs, where each pair consists of an input value and an output value. Relations can represent any association between elements of two sets.

5 Must Know Facts For Your Next Test

1. A relation can be represented as a table, graph, or mapping diagram.
2. The domain of a relation is the set of all possible input values.
3. The range of a relation is the set of all possible output values.
4. A function is a special type of relation where each input has exactly one output.
5. Relations can be classified as functions or non-functions based on their mappings.

Review Questions

• What distinguishes a function from a general relation?
• How do you determine the domain and range of a given relation?
• What are three ways to represent a relation?

Related terms

Function: A relation in which every input has exactly one output

Domain: The set of all possible input values in a relation

Range: The set of all possible output values in a relation