Which of the following scenarios exhibits a function relation?
Identifying Function Relations
Function relation is a type of relation between two sets where each element in the first set is related to exactly one element in the second set. Let's analyze the scenarios given:
Scenario 1:
the set of tree heights and the set of trees in a forest
This scenario does not exhibit a function relation. The height of a tree is not a unique identifier for a tree in a forest, as multiple trees could have the same height.
Scenario 2:
the set of car make and models and the set of people in a certain town
Similarly, this scenario does not demonstrate a function relation. A person in a town can own multiple cars with different makes and models, making it impossible for each person to be uniquely associated with a specific make and model.
Scenario 3:
the set of birthdays and the set of students in a class
There is no direct function relation here either. Multiple students in a class could share the same birthday, which means a birthday does not uniquely determine a student.
Scenario 4:
the set of people with Social Security cards and the set of Social Security numbers
This scenario exhibits a function relation. Each individual with a Social Security card is assigned a unique Social Security number, establishing a one-to-one correspondence between the two sets.
Conclusion:
Therefore, the correct answer to the question is the set of people with Social Security cards and the set of Social Security numbers, as it is the only scenario that shows a function relation.
Which of the following scenarios exhibits a function relation? Take the first set listed to be the domain of the relation. -the set of tree heights and the set of trees in a forest -the set of car make and models and the set of people in a certain town -the set of birthdays and the set of students in a class -the set of people with Social Security cards and the set of Social Security numbers
The correct answer is the last one among the choices, the set of people with Social Security cards and the set of Social Security numbers.