Is the following relation a function? { (3, - 2), (1, 2), (-1, - 4), (-1, 2) } Yes No

The ordered pairs (-1, - 4) an (-1, 2) have the same first coordinate i. e. - 1 is occurring twice. Therefore, the given relation is not a function.

Step-by-step explanation:

Considering the relation

{ (3, - 2), (1, 2), (-1, - 4), (-1, 2) }

No! the following relation is not a function.

Here is the reason:

Check the table

x y occurrence of x

3 - 2 1

1 2 1

-1 - 4 1

-1 2 2

From the above table, it is clear that the value of input x is occurring more than once (twice here), so the set of ordered pairs is not a function.

Because a set of ordered pairs will be a function only if the ordered pairs do not have the same first coordinate with different second coordinates.

But the ordered pairs (-1, - 4) an (-1, 2) have the same first coordinate i. e. - 1 is occurring twice. Therefore, the given relation is not a function.