Which sets of ordered pairs represent functions? What strategies did you use to find out? \( \{(4,3),(4,2),(4,1),(4,0)\} \)

1. **Identify the Domain Values** The set given is \[ \{(4,3), (4,2), (4,1), (4,0)\}. \] The first coordinate (input) in each pair is \(4\). 2. **Apply the Definition of a Function** A function assigns exactly one output to each input. For any \(x\) in the domain, there should be only one corresponding \(y\)-value. 3. **Analyze the Ordered Pairs** In the set, the input \(4\) is associated with multiple outputs (\(3\), \(2\), \(1\), and \(0\)). This means that the input \(4\) has more than one output. 4. **Conclusion** Since the input \(4\) is linked to several different outputs, the set does not satisfy the definition of a function. 5. **Strategies Used** - **Checking Input Repetition:** I examined the first coordinate of each ordered pair. - **Applying the Function Definition:** I verified whether each input corresponded to exactly one output. - **Evaluating the Consistency:** I noticed that the input \(4\) appears with four different outputs, which violates the requirement for a function. Therefore, the set \(\{(4,3), (4,2), (4,1), (4,0)\}\) does not represent a function.