Final answer:
The set of ordered pairs {(-8,-7), (-7,-7), (-5,-1), (3,5)} is a function because each x-value is paired with a unique y-value. The domain is {-8, -7, -5, 3}, and the range is {-7, -1, 5}.
Step-by-step explanation:
To determine whether the set of ordered pairs is a function, we need to check if each input (or x-value) maps to exactly one output (or y-value). The given set of ordered pairs is {(-8,-7), (-7,-7), (-5,-1), (3,5)}. In this set, each x-value is unique; thus, each x-value is paired with exactly one y-value. Therefore, the set of ordered pairs is a function.
The domain of a function is the set of all possible input values. For this function, the domain is the set of x-values, which are {-8, -7, -5, 3}. The range of a function is the set of all possible output values. In this case, the range is the set of y-values, which are {-7, -1, 5}.