Relation

Definition

A relation is a set of ordered pairs where each element from the first set (domain) is paired with an element from the second set (range). Relations can be represented as tables, graphs, or mappings.

5 Must Know Facts For Your Next Test

1. The domain of a relation is the set of all possible input values.
2. The range of a relation is the set of all possible output values.
3. A relation can be represented by a graph on the coordinate plane.
4. A function is a specific type of relation where each input has exactly one output.
5. The vertical line test can be used to determine if a graph represents a function.

Review Questions

• What distinguishes a function from a general relation?
• How do you determine the domain and range of a given relation?
• What is the vertical line test and how is it used?

Related terms

Function: A special type of relation in which each element in the domain maps to exactly one element in the range.

Domain: The set of all possible input values for which a relation or function is defined.

Range: The set of all possible output values that result from using the inputs in the domain within a given relation or function.