Adding which of the following ordered pairs to the set { (1,-2), (0,4), (2,-3) } would make it not a function?

A. (-1, - 2)

B. (3, 5)

C. (0, 2)

D. (-2, 1)

Correct option is:

C. (0,2)

Step-by-step explanation:

A set of ordered pairs is a function as long as no two ordered pairs have the same first coordinate with different second coordinates.

we are given a ordered pair:

{ (1,-2), (0,4), (2,-3) }

A. (-1, - 2)

If we add it to above set of ordered still it will be a function

B. (3, 5)

If we add it to above set of ordered pair still it will be a function

C. (0, 2)

If we add it to above set of ordered pair then first coordinate 0 will have two different second coordinate i. e. 2 and 4

and the ordered pair will no longer be a function then

D. (-2, 1)

If we add it to above set of ordered pair still it will be a function

Correct option is:

C. (0,2)

Option C. (0, 2)

Step-by-step explanation:

we know that

A function can only have one y value for each x value, so you can't repeat the same x value

In this problem we have the set

{ (1,-2), (0,4), (2,-3) }

If you adding the ordered pair (0,2)

then

For x=0

will have two values of y

y=4 and y=2

therefore

The ordered pair (0,2) would make the set not a function