Final answer:
To make the given relation a function, one must remove one of the ordered pairs that has a repeated x-value, which in this case is either (-1,5) or (-1,-2).
Step-by-step explanation:
To ensure the relation represents a function, each input (or x-value) must be associated with exactly one output (or y-value). When we examine the given set of ordered pairs (-1,5), (-3,-1), (-6,-8), (-1,-2), (8,-2), we notice that the input -1 is associated with two different outputs, 5 and -2. Therefore, one of these pairs must be removed to make the relation a function.
To determine which ordered pair to remove, we must simply choose one of the pairs with the repeated x-value. Removing either (-1,5) or (-1,-2) will resolve the issue. In this case, it does not matter which one we remove, as the goal is simply to have each x-value paired with only one y-value.