Which of the following values could be used for x and would cause the following relation to NOT be a function?
{(2,3), (-2,6), (3,-4), (x, 2), (5,-9)}
A. x = -4
B. x = 0
C. x = 3
D. x = 6
The relation {(2,3), (-2,6), (3,-4), (x, 2), (5,-9)} would not be a function if there was another set with the same x-value, but a different y-value. To check for any duplicate x-values, we look at the x-values of the sets given: 2, -2, 3, x, 5.
Therefore, for the relation to not be a function, the value of x cannot be any of the x-values already given.
The values that could cause the relation to not be a function are x = 2, -2, 3, or 5.
None of the options A, B, C, or D match these values.
Therefore, the answer is none of the above.