Question

State the domain and range for the following relation. Then determine whether the relation represents a function.
Father Son
Gem Gale
Hesh Abby
Beni Sam
A. Domain : {Gem, Hesh, Gale}
Range : {Sam, Abby, Beni}
B. Domain : {Gale, Abby, Beni}
Range : {Gem, Hesh, Sam}
C. Domain : {Gem, Hesh, Sam}
Range : {Gale, Abby, Beni}
D. Domain : {Sam, Abby, Beni}
Range : {Gem, Hesh, Gale}
Does the relation represent a function?
A. The relation in the figure is a function because each element in the domain corresponds to exactly one element in the range.
B. The relation in the figure is a function because each element in the range corresponds to exactly one element in the domain.
C. The relation in the figure is not a function because the element Gale in the range corresponds to more than one element in the domain.
D. The relation in the figure is not a function because the element Sam in the domain corresponds to more than one element in the range.

Answer 1

Answer:

C. Domain : {Gem, Hesh, Sam}

Range : {Gale, Abby, Beni}

B. The relation in the figure is a function because each element in the range corresponds to exactly one element in the domain.

Step-by-step explanation:

The figure of the mapping is attached below.

From the diagram, the domain for the relation is the set of Fathers:

{Gem, Hesh, Sam}

The range is the set of Sons:

{Gale, Abby, Beni}

The relation is a function. This is because each element in the range corresponds to exactly one element in the domain.