Question

Which of the following sets of ordered pairs could represent a function to

Answer 1

Explanation:

As long as you don't see the same x value giving different y values, it'll be a function.

Answer 2

The correct options are 1, 2 and 4.

Explanation:

A relation is a function if and only if there exist a unique output for each input.

In option 1, the given orderder pairs are

(2,-5), (4,-5), (6,2), (8,3)

For all x-values we have unique y-values. Set 1 is a function.

In option 2, the given orderder pairs are

(-1,5), (3,5), (6,5), (9,5)

Set 2 is a function.

In option 3, the given orderder pairs are

(3,-4), (5,2), (3,8), (6,7)

Here, for x=3 we have two y-values -4 and 8. Set 3 is not a function.

In option 4, the given orderder pairs are

(0,3), (4,2), (-1,7), (0,3)

For all x-values we have unique y-values. Set 4 is a function.

In option 5, the given orderder pairs are

(-1,1), (-1,6), (-1,8), (-1,0)

For x=-1 we have more than one y-values. Set 5 is not a function.

In option 6, the given orderder pairs are

(-4,2), (3,-2), (-4,-2), (5,1)

For x=-4 we have more than one y-values. Set 6 is not a function.

Therefore the correct options are 1, 2 and 4.