Which ordered pair (x,y) makes the relation below a function?
{(1,2), (-2,4), (3,3), (-4,4), (x,y)
A (-4,-2)
B (-2,3)
C (3,2)
D (5,1)
To determine whether the relation is a function, we need to check if each x-value is paired with exactly one y-value. In this case, we are given a set of ordered pairs and we need to find the one that would make the relation a function.
Let's go through the given options one by one and see if they satisfy this condition:
A) (-4, -2)
Checking the given values, (x,y) = (-4, -2), we see that (-4) is paired with (4) in the given relation. Since we have another pair for (-4), this option does not make the relation a function.
B) (-2, 3)
Checking the given values, (x,y) = (-2, 3), we find that (-2) is paired with (4) in the given relation. Since we have another pair for (-2), this option does not make the relation a function either.
C) (3, 2)
Checking the given values, (x,y) = (3, 2), we see that (3) is paired with (3) in the given relation. Since there is only one pair for (3), this option does make the relation a function.
D) (5, 1)
Checking the given values, (x,y) = (5, 1), we do not have (5) as one of the given pairs. Therefore, this option does not make the relation a function either.
Out of the given options, only option C (3, 2) makes the relation a function.