Question

Which of the following relations is not a function? Select all.

D {(-3,5), (9,5), (6,5), (0,5)}
{(-1,-1), (-2,6), (-1, -3), (6,-1)}
{(0,0), (4,-5), (-4, 6), (5,6)}
((1,2), (-4, 0), (2,0), (-4,4)}

Answer 1

Hi there!

A function is a set of ordered pairs that do not have same x-values.

In a set of ordered pairs, If two or more ordered pairs have same x-values, they are not considered as a function but rather a relation instead.

From the question above, you notice that two of the choices have same x-values and others don't have.

The relations that are not functions are the second choice and fourth choice because two ordered pairs have same x-values.

Any questions can be asked through comment.

Furthermore, a function is also a relation but a relation isn't always a function.

Hope this helps, and Happy Learning! :)