1. **State the problem:** We are given a relation as a set of ordered pairs from the table: $$\{(12, -20), (-12, 4), (0, 20), (0, 4)\}$$ We need to determine if this relation is a function. 2. **Recall the definition of a function:** A relation is a function if and only if every input (x-value) corresponds to exactly one output (y-value). In other words, no x-value can be paired with more than one y-value. 3. **Analyze the given relation:** - The x-values are 12, -12, 0, and 0. - Notice that the x-value 0 appears twice with different y-values 20 and 4. 4. **Conclusion:** Since the x-value 0 corresponds to two different y-values, this relation does not satisfy the definition of a function. **Final answer:** No, this relation is not a function because the input 0 has multiple outputs.