Question

Which of these ordered pairs could you remove to make this relation a function? {(-2,1), (-1, -5), (-1,5), (0, -7), (2, 1)}

A. (-2, 1)
B. (-1, 5)
C. (0, -7)
D. (2, 1)

Answer 1

B. (-1,5).

Explanation:

Which of these ordered pairs could you remove to make this relation a function? {(-2,1), (-1, -5), (-1,5), (0, -7), (2, 1)}

B. (-1, 5)

Answer 2

Your answer would be B. (-1,5).

In order for the order pairs to be a function. All of the x coordinates must be different from each other, they can't be the same. There can't be any repeats of the x coordinates. But for the y coordinates, it's okay for them to be the same. The reason why you would eliminate (-1,5) is because there are 2 -1 x coordinates, and that would not make the ordered pairs a function. When you remove them, none of the x coordinates are the same anymore, so it would now be a function.

Hope this helps out :)