Relation: Domain and Range

Relation: Domain and Range

by Mandeep Obhi

​Multiple Representations of a Relation

​There are 4 ways to represent a relation

​- Ordered Pairs

​- Table

​- Mapping

​- Graph

​Multiple Representations of a relation

Domain from a set

• The set of all "inputs" or x-values in a relation

• Ex. {(1,3), (4,9),(8,9)} the domain is {1, 4, 8)

Range from a set

• The set of all "outputs" or y-values

• {(1,9)(-3,-5)(0,0)} the range is {9,-5,0}

​Domain and Range

​Domain: all the x values

​Range: all the y values

Multiple Choice

What is the range?

• {-3, -1, 2, 4}

• {0, 4, 7} 

• {0, 4, 4, 7}

• {7, 4, 0}

Multiple Choice

What is the range of the following relation: (9, -2) (4, 3)  ( 8, 10) ( -4, 8)

• {-4, 4, 8, 9}

• {-2, 3, 8, 10}

• {(9, -2) ( 4, 3)}

• {(8, 10) (-4, 8)}

Multiple Choice

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

• D: {1, -3, -4,} R: {0, 1, 2, -4}

• D: {-4, 0, 1, 2} R:{-4, -3, 1}

• D: {0, 1, 2, 3, 4} R:{1, -3, -4}

• D: {0, 1, 2, -4} R: {1, -3, -4, 1}