Answer:
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.
