Question

Jen has collected information about the students in her class and the month they were born.

Which of the following statements would be true about this 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 a relation but not a function.

Answer 2

depends on how you defined which set is mapped to the other.

If I let the set A = {students} and B = {month}
then f: A -> B is a function, which means it is also a relation

however f: B->A is not a function, but is a relation