Decide whether or not the relation is a function.

[(0,1), (-5,4), (0,2), (5,-4)]

The relation {(0,1), (-5,4), (0,2), (5,-4)} does NOT represent the relation.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Given the relation

{(0,1), (-5,4), (0,2), (5,-4)}

From the given relation is clear that the input value x = 0 is repeated twice.

In other words, the input value x = 0 is duplicated.

As we have already mentioned that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, the relation {(0,1), (-5,4), (0,2), (5,-4)} does NOT represent the relation.

560

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