Which sets of ordered pairs represent functions from \( A \) to \( B \) ? (Select all that apply.) \[ A=\{1,2,3,4\} \text { and } B=\{-2,-1,0,1,2\} \]

To determine which sets of ordered pairs represent functions from set \( A \) to set \( B \), we need to ensure that each element in set \( A \) is associated with exactly one element in set \( B \). This means that for each \( a \in A \), there should be a unique \( b \in B \) such that the ordered pair \( (a, b) \) is included in the set. Let's analyze the criteria for a set of ordered pairs to be a function: 1. Each element in \( A \) must appear as the first element in exactly one ordered pair. 2. No element in \( A \) can be paired with more than one element in \( B \). Now, let's consider some example sets of ordered pairs and check if they satisfy the criteria for being a function from \( A \) to \( B \): 1. **Example Set 1**: \( \{(1, -2), (2, 0), (3, 1), (4, 2)\} \) - Each element in \( A \) (1, 2, 3, 4) is paired with a unique element in \( B \) (-2, 0, 1, 2). - This set represents a function. 2. **Example Set 2**: \( \{(1, -1), (2, 1), (3, 1), (4, -1)\} \) - Each element in \( A \) is paired with a unique element in \( B \). - This set represents a function. 3. **Example Set 3**: \( \{(1, 0), (2, 1), (3, 1), (2, 2)\} \) - The element 2 in \( A \) is paired with two different elements in \( B \) (1 and 2). - This set does not represent a function. 4. **Example Set 4**: \( \{(1, -2), (2, -2), (3, -2), (4, -2)\} \) - Each element in \( A \) is paired with the same element in \( B \) (-2). - This set represents a function. 5. **Example Set 5**: \( \{(1, 0), (2, 1), (3, 2), (4, 2), (1, 1)\} \) - The element 1 in \( A \) is paired with two different elements in \( B \) (0 and 1). - This set does not represent a function. In summary, to determine if a set of ordered pairs represents a function from \( A \) to \( B \), check that each element in \( A \) appears exactly once as the first element in the pairs. If you have specific sets of ordered pairs to evaluate, please provide them, and I can help you determine which ones represent functions.