Question

Which ordered pairs cause this relation NOT to be a function? Why?

Answer 1

Answer:

(3,1) and (3,2)

Step-by-step explanation:

We are given that a relation

{(0,0.5),(0.5,1),(3,1),(1,6),(3,2)}

We have to find that ordered pair which causes this relation not to be a function.

We know that

Function: It is  a mapping between two non- empty set A and B.

Every element of set A has unique image in set B.

One element of set A can not have two or more images in set B.

Two or more elements of set A have same images in set B.

In given relation images of 3 are 1 and 2 which is not possible if a relation is function because one element can not have two or more images.

The ordered pair (3,2) and (3,1) cause this relation not to be a function because image of 3 are 1 and 2 which is not possible .

Answer: (3,1) and (3,2)