Question

Identify the domain and range of each relation. Is

the relation a function? Explain. SEE EXAMPLES 1 AND 3
y
14.
City
3
6
13.
x 58101214
11
*
A
B
C
D
Team
Rockets
Birds
Pups
Cats
Hawks

Answer 1

Relation 1 (City -> Team) is a function, each city has a unique team.

Relation 2 (Team -> City) is not a function, multiple teams can be from the same city.

Relation 1: City -> Team

Domain (Cities): {5, 8, 10, 12, 14}

Range (Teams): {Rockets, Birds, Pups, Cats, Hawks}

Function: Yes, this is a function because each city has one unique team associated with it. There are no repeated city values with different teams.

Relation 2: Team -> City (assuming this is the intended relation based on the arrow)

Domain (Teams): {Rockets, Birds, Pups, Cats, Hawks}

Range (Cities): {5, 8, 10, 11, 12, 14} (Note that city 11 is included here, although it's not explicitly listed in the table)

Function: No, this is not a function because multiple teams can be associated with the same city. For example, both Rockets and Birds are associated with city 5.