Final answer:
The set of points { (7, 3), (7, 15), (7, -11) } does not represent a function because the input 7 is associated with more than one output, violating the definition of a function.
Step-by-step explanation:
To determine if a set of points represents a function, we must check if every input (or x-value) is paired with exactly one output (or y-value). The set of points given is { (7, 3), (7, 15), (7, -11) }.
We can see that the input 7 is paired with three different outputs (3, 15, and -11). This violates the rule that a function must assign exactly one output to each distinct input. Therefore, the set of points provided does not represent a function.