Relation, Domain, and Range
Relation, Domain, and Range is an algebra skill from Openstax Intermediate Algebra 2E, Chapter 3: Graphs and Functions. A relation is any set of ordered pairs (x, y), where the collection of all x-values is the domain and the collection of all y-values is the range. Mappings can be used to visualize how elements of the domain are paired with elements of the range.
Key Concepts
Property A relation is any set of ordered pairs, $(x, y)$. All the $x$ values in the ordered pairs together make up the domain . All the $y$ values in the ordered pairs together make up the range . A mapping is sometimes used to show a relation. The arrows show the pairing of the elements of the domain with the elements of the range.
Examples For the relation {(10, A), (20, B), (30, C)}, the domain is {10, 20, 30} and the range is {A, B, C}.
In the relation {(apple, red), (banana, yellow), (grape, purple), (lime, green)}, the domain is {apple, banana, grape, lime} and the range is {red, yellow, purple, green}.
Common Questions
What is the domain of a relation?
The domain is the set of all x-values (inputs) in the ordered pairs of the relation.
What is the range of a relation?
The range is the set of all y-values (outputs) in the ordered pairs of the relation.
What is a mapping diagram for a relation?
A mapping diagram uses arrows to show how each element in the domain is paired with its corresponding element in the range, making the pairing visually clear.
What textbook introduces relation, domain, and range?
Openstax Intermediate Algebra 2E, Chapter 3: Graphs and Functions introduces the concepts of relation, domain, and range.