Answer:
Please check the explanation.
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.
In our case, we need to determine the value of x so that we can have repeated or duplicated inputs or x-values because duplicated inputs mean the relation would not be a relation.
Given
{(0, 1), (x, 0), (3, 5), (2, 6)}
Now, if we put x = 3, the relation would become:
{(0, 1), (3, 0), (3, 5), (2, 6)}
Here, x = 3 is repeated twice, and we can not have duplicated inputs as there should be only 1 output for each input.
Therefore,
For the value of x = 3, the relation would not be a function.
Note: The same can be said about the values of x = 0, or x = 2 because then the the dupilcated values be x = 0 or x = 2 respectively.
