Which set of ordered pairs represents a function? \[ \{(0,7),(2,7),(4,7),(6,7),(8,7)\} \] \( \{(1,2),(2,3),(3,2),(2,1),(1,0)\} \) \( \{(5,1),(5,2),(5,3),(5,4),(5,5)\} \) \( \{(1,4),(2,4),(3,4),(4,3),(4,2)\} \)

A **function** is a set of ordered pairs where each input (the first element of the pair) is associated with exactly one output (the second element). This means that no input value is repeated with different outputs. Let's analyze each set: 1. **\(\{(0,7),(2,7),(4,7),(6,7),(8,7)\}\)** - **Inputs:** 0, 2, 4, 6, 8 - **Each input is unique** and maps to exactly one output (7). - **Conclusion:** This **is a function**. 2. **\(\{(1,2),(2,3),(3,2),(2,1),(1,0)\}\)** - **Inputs:** 1, 2, 3 - **Input 1** maps to both 2 and 0. - **Input 2** maps to both 3 and 1. - **Conclusion:** This **is not a function** (inputs are associated with multiple outputs). 3. **\(\{(5,1),(5,2),(5,3),(5,4),(5,5)\}\)** - **Inputs:** 5 - **Input 5** maps to 1, 2, 3, 4, and 5. - **Conclusion:** This **is not a function** (input is associated with multiple outputs). 4. **\(\{(1,4),(2,4),(3,4),(4,3),(4,2)\}\)** - **Inputs:** 1, 2, 3, 4 - **Input 4** maps to both 3 and 2. - **Conclusion:** This **is not a function** (input is associated with multiple outputs). **Only the first set** \(\{(0,7),(2,7),(4,7),(6,7),(8,7)\}\) represents a function. **Answer:** Only the first set, { (0, 7), (2, 7), (4, 7), (6, 7), (8, 7) }, represents a function.