1. The problem asks whether the set of ordered pairs $\{(3,1), (4,1), (6,1), (8,1)\}$ is a function or a relation. 2. A relation is any set of ordered pairs. 3. A function is a special type of relation where each input (x-value) corresponds to exactly one output (y-value). 4. In the given set, the x-values are 3, 4, 6, and 8, and each maps to the y-value 1. 5. Since each x-value is unique and has only one corresponding y-value, this set satisfies the definition of a function. 6. Therefore, the set $\{(3,1), (4,1), (6,1), (8,1)\}$ is a function.