Final answer:
The given relation {(-3,-1),(-5,5),(7,7),(5,5)} represents a function, as each x-value is unique and corresponds to exactly one y-value.
Step-by-step explanation:
The question asks whether the given relation {(-3,-1),(-5,5),(7,7),(5,5)} represents a function. According to the definition of a function in mathematics, for a relation to be a function, every input (x-value) must be associated with exactly one output (y-value). To determine if the given relation is a function, we must check if there are any repeated x-values with different corresponding y-values.
Looking at the set of ordered pairs, we see that each x-value is unique. There are no repeated x-values with different y-values. Therefore, based on this information, the relation does represent a function.