A. Tell whether the following relation/diagram/graph is a function or not. \[ \begin{array}{r}1,\{(4,3),(2,1),(0,-2),(7,2)\} \\ 2 .((3,3),(3,1),(0,-2),(0,2)\} \\ 3,\{(-2,-2),(-3,-3),(0,0),(2,2)\} \\ 4,((4,5),(5,4),(2,3),(3,2)\end{array} \]

To determine whether each of the given sets of ordered pairs represents a function, we need to check if each input (the first element of each ordered pair) is associated with exactly one output (the second element of each ordered pair). A relation is a function if no two ordered pairs have the same first element with different second elements. Let's analyze each set: 1. **Set 1: \(\{(4,3),(2,1),(0,-2),(7,2)\}\)** - Inputs: 4, 2, 0, 7 - All inputs are unique. - This set is a function. 2. **Set 2: \(\{(3,3),(3,1),(0,-2),(0,2)\}\)** - Inputs: 3, 3, 0, 0 - The input 3 is associated with two different outputs (3 and 1). - The input 0 is also associated with two different outputs (-2 and 2). - This set is not a function. 3. **Set 3: \(\{(-2,-2),(-3,-3),(0,0),(2,2)\}\)** - Inputs: -2, -3, 0, 2 - All inputs are unique. - This set is a function. 4. **Set 4: \(\{(4,5),(5,4),(2,3),(3,2)\}\)** - Inputs: 4, 5, 2, 3 - All inputs are unique. - This set is a function. In summary: 1. Set 1: Function 2. Set 2: Not a function 3. Set 3: Function 4. Set 4: Function