Answer:
If we remove one ordered pair (1, -2) then the set of points would represent a function.
Hence, option C i.e. (1, -2) is correct.
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
{(-2,4), (4,-2), (1,1), (1,-2), (0,1), (6,4)}
If we closely check, we can observe that the input x = 1 is repeated twice.
In other words, there are two ordered pairs (1, 1) and (1, -2) with the same input x = 1. So, x = 1 is duplicated here.
We know that we can not have duplicated inputs as there should be only 1 output for each input.
Therefore, if we remove one ordered pair (1, -2) then the set of points would represent a function.
Hence, option C i.e. (1, -2) is correct.
