Final answer:
The given set of input-output pairs does represent a function because every input is associated with exactly one output, satisfying the definition of a function.
Step-by-step explanation:
To determine if the relationship given is a function, we must check if every input has exactly one output. In other words, for a set to be a function, each value in the domain (inputs) should be paired with one and only one value in the range (outputs).
Given the inputs and outputs:
- Input: -7, 2, -1, 5
- Output: 1, 3, 5, 8
We can see that each input value is associated with a different output value. Since no input is associated with more than one output, the given set of input-output pairs does represent a function.