Final answer:
To add an ordered pair to a list of points to create a function, you must ensure no x-value is repeated with a different y-value. Without a specific list of existing points, we cannot definitively choose an ordered pair, but any one from A, B, or C would be potentially valid if their x-values are not already present in the list. Option D cannot be considered as it is an incomplete ordered pair.
Step-by-step explanation:
To determine which ordered pair you can add to a list to create a function, you must ensure that each input (or x-value) corresponds to exactly one output (or y-value). Therefore, to answer which ordered pair could be added to a list of points to create a function, we need to be sure that we are not repeating any x-values, because repeating x-values with different y-values would mean the relation is not a function.
The existing list of points must be considered, and unfortunately, we don't have that information here. However, for the sake of an example, let's consider a list that does not include x-values of 1, 3, or 2. In this case:
- Adding point A (1, 9) would be acceptable if no other point in the list has an x-value of 1.
- Adding point B (3, 7) would be acceptable if no other point in the list has an x-value of 3.
- Adding point C (2, 6) would be acceptable if no other point in the list has an x-value of 2.
Without the context of the existing points in the list, we could consider any of these options as potentially valid. If, for example, the existing list already contains a different y-value for x=1, then option A would not be acceptable to add, as it would violate the definition of a function. The same logic would apply to options B and C. Option D (1, 9) is not a complete ordered pair and therefore cannot be considered for inclusion in a function.