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.                          

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step-by-step explanation: