Relation

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.

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.

Review Questions

• What distinguishes a function from a general relation?
• How do you determine the domain and range of a given relation?
• Can you provide an example of a relation that is not a function?

Related terms

Function:

A special type of relation where each input has exactly one output.

Domain:

The set of all possible input values for a given relation or function.

Range:

The set of all possible output values for a given relation or function.