Given:
The relations are:
{(7,8),(−4,4),(3,8),(−7,−1)}
{(-5, -3), (-1, -8), (-7, 0), (-5, -9)}
{(8,4),(6,−1),(−4,5),(9,4)}
{(8,−3),(4,0),(−4,9),(3,2)}
To find:
The relation that is not a function.
Solution:
A relation is a function if there exist unique y-value for each x-value and a relation is not a function if there exist more than one y-values for any x-value.
In option B, the given relation is:
{(-5, -3), (-1, -8), (-7, 0), (-5, -9)}
Here, [tex]y=-3[/tex] and [tex]y=-9[/tex] for [tex]x=-5[/tex]. There exist more than one y-values for [tex]x=-5[/tex]. So, this relation is not a function.
In other three relations, all x-values are different, so there exist unique y-value for each x-value. It means the relations in options A, C and D are functions.
Therefore, the correct option is B.
