Question

Which ordered pair could you remove from the relation {(–1, 0), (1, 3), (2, 2), (2, 3), (3, 1)} so that it becomes a function?

Answer 1

Each x value should have only one y value

therefore you should remove wither (2,2) or (2,3)

Answer 2

Either of (2,2) or (2,3) should be removed to get the relation as a function.

Explanation:

We know that a relation is a function if each element of the first set is mapped to a unique element of the other set.

i.e. corresponding to each x value we have a single y-value.

We are given a relation as:

{(–1, 0), (1, 3), (2, 2), (2, 3), (3, 1)}

As we could observe that there are two images corresponding to '2' i.e. 2 is mapped to 2 and 3 both as could be seen from the ordered pair (2,2) and (2,3).

Hence, if any one of (2,2) and (2,3) will be removed we will get our relation as a function.