Domain and Range Solutions

• A    relation    represents the relationship between    two    variables, x and y.

• A relation can be expressed as:
  • 
a set of    ordered pairs   .

  • a table of    values   .
  • 
a    graph    on a coordinate plane.
• 
The    domain    is the set of all possible x-coordinates. 

• The    range    is the set of all possible y-coordinates.
• 
The domain and range are written in set brackets {  } in    ascending    order with no repeated values. 

• The domain is analyzed to determine if a relation is a    function   .

• When no domain values are    repeated   , the relation is also a function.

Example 1

Given the graph of the relation, list the set of ordered pairs that make up the relation (Q). Then provide the domain and range of the relation.

Example 2

Name the domain and range for the given relation.


P:{(–12, 8), (–8, 8), (–8, –8), (4, 2), (4, –8), (8, 8)}


Domain: {–12, –8, 4, 8}           

Range: {–8, 2, 8}

This is    not    a function because the domain has repeated values.