Question

Of the following sets, which represents a function?

Situation A = {student's name, all the colors that the student likes}

Situation B = {student's name, the student's favorite math teacher}

a. Only A

b. Only B

c. Both A and B

d. Neither A nor B

Answer 1

D

Explanation:

Answer 2

Situation B is a function.

Explanation:

We know that,

A function is a relation in which every element in the domain i mapped to a unique element in the co-domain.

That is, every element in the domain must have a unique image.

So, we see that,

Situation A = {student's name, all the colors that the student likes}

Here, the students can have more than one color which they like.

Thus, this relation is not a function.

Situation B = {student's name, the student's favorite math teacher}

Here, the students can have only one favorite math teacher.

So, this relation is a function.