Question

The relation R is shown below as a list of ordered

pairs.
R={(1, 4), (1, 3), (-1,3), (2, 15)}
Which ordered pairs prevent this relation from
being a function?
0 (1, 4) and (1,3), because they have the same
X-value
(1, 3) and (-1, 3), because they have the
same y-value

Answer 1

(1, 4) and (1,3), because they have the same x-value

Explanation:

For a relation to be regarded as a function, there should be no two y-values assigned to an x-value. However, two different x-values can have the same y-values.

In the relation given in the equation, the ordered pairs (1,4) and (1,3), prevent the relation from being a function because, two y-values were assigned to the same x-value. x = 1, is having y = 4, and 3 respectively.

Therefore, the relation is not a function anymore if both ordered pairs are included.

The ordered pairs which make the relation not to be a function are: "(1, 4) and (1,3), because they have the same x-value".