Which of the following scenarios exhibits a function relation? Take the first set listed to be the domain of the relation.

a. the set of tree heights and the set of trees in a forest

b. the set of car make and models and the set of people in a certain town

c. the set of birthdays and the set of students in a class

d. the set of people with Social Security cards and the set of Social Security numbers

The correct answer is d) the set of people with Social Security cards and the set of Social Security numbers.

Explanation:

A function is a relation in which each element of the domain is mapped with no more than one element of the range. This means that no domain element can be mapped with more than one range element.

One tree height can be the same for more than one tree, so this is not a function.

The same make and model of a car can be owned by more than one person, so this is not a function.

A specific birthday can be shared by more than one person, so this is not a function.

People with a Social Security card cannot have more than one Social Security number, so this is a function.