1. The problem is to determine whether the given set of ordered pairs \([2,3], [5,5], [3,6], [7,6], [5,8]\) represents a function. 2. Recall that a relation is a function if each input (first element of the pair) corresponds to exactly one output (second element). 3. Look at the inputs: \(2, 5, 3, 7, 5\). 4. Notice that input \(5\) appears twice, once paired with output \(5\) and once with output \(8\). 5. Since the same input \(5\) has two different outputs \(5\) and \(8\), this violates the definition of a function. 6. Therefore, the given set of ordered pairs does \textbf{not} represent a function.