To determine which choice provides a point that preserves the function (i.e., adheres to the rule of a function where each x-value must correspond to exactly one y-value), we need to check if the x-value of each choice already exists in the original set of x-values.
From the given data, the unique x-values already present are:
- 4
- -5
- -1
- -6
- 9
- 5
- 2
- 3
- 6
Now we analyze each option:
A. (9, 8) - The x-value 9 already exists in the table, so this would conflict with the rule of a function. B. (-6, 3) - The x-value -6 already exists, so this would conflict as well. C. (-5, -2) - The x-value -5 already exists, leading to a conflict. D. (-3, -8) - The x-value -3 does not appear in the current set of x-values, meaning this is not in conflict with the existing data.
Thus, the only choice that gives a point that preserves the function is:
D. (-3, -8).