Which relation is NOT a function? \( \begin{array}{l}\text { \{(7,2), }(-5.2),(8,2),(-6,2),(-3,-2)\} \\ \{(7,2),(-5.3),(8,9),(-6,-4),(-3,-4)\} \\ \{(-13,2),(-5.3),(4,9),(-6,-4),(-3,4)\} \\ \{(7,2),(-5.3),(-6,9),(-6,-4),(-3,-4)\}\end{array} \)

To determine which relation is NOT a function, we need to check if any of the relations have the same first element (input) paired with different second elements (outputs). A relation is a function if each input is associated with exactly one output. Let's analyze each relation: 1. **Relation 1**: \(\{(7,2), (-5,2), (8,2), (-6,2), (-3,-2)\}\) - All first elements are unique: 7, -5, 8, -6, -3. - This relation is a function. 2. **Relation 2**: \(\{(7,2), (-5,3), (8,9), (-6,-4), (-3,-4)\}\) - All first elements are unique: 7, -5, 8, -6, -3. - This relation is a function. 3. **Relation 3**: \(\{(-13,2), (-5,3), (4,9), (-6,-4), (-3,4)\}\) - All first elements are unique: -13, -5, 4, -6, -3. - This relation is a function. 4. **Relation 4**: \(\{(7,2), (-5,3), (-6,9), (-6,-4), (-3,-4)\}\) - The first element -6 appears twice with different second elements: (-6,9) and (-6,-4). - This means that this relation is NOT a function. Thus, the relation that is NOT a function is: \(\{(7,2), (-5,3), (-6,9), (-6,-4), (-3,-4)\}\)