Question

Keith collected the names and ages of all of his classmates and organized them in the ordered pair (name, age).

Which of the following statements would be true about his information?

It is both a relation and a function.
It is a relation but not a function.
It is not a relation, but it is a function.
It is neither a relation nor a function.

Answer 1

It is both a relation and a function.

Explanation:

Keith collected the names and ages of all of his classmates and organized them in the ordered pair (name, age).

Here, if we consider the name as the input and age is the output, then each and every different input there is a single output.

Because a single person can not have more than one age.

Therefore, it is both a relation and a function. (Answer)