Look at the relation below. {(-2,4), (4,-2), (1,1), (1,-2), (0,1), (6,4)}

which order pair should be removed for the set of points to be a function?

a) (-2,4)
b) (0,1)
c) (1,-2)
d) (6,4)

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.

hard

step-by-step explanation: