State the domain and range of the following function. \( \{(-2,2),(0,3),(-1,2),(-3,4),(1,-3)\} \)

To determine the domain and range of the given function represented by the set of ordered pairs \( \{(-2,2),(0,3),(-1,2),(-3,4),(1,-3)\} \): 1. **Domain**: The domain consists of all the first elements (x-values) of the ordered pairs. From the given set, the x-values are: - \(-2\) - \(0\) - \(-1\) - \(-3\) - \(1\) Therefore, the domain is: \[ \text{Domain} = \{-3, -2, -1, 0, 1\} \] 2. **Range**: The range consists of all the second elements (y-values) of the ordered pairs. From the given set, the y-values are: - \(2\) - \(3\) - \(2\) (note that \(2\) is repeated) - \(4\) - \(-3\) Therefore, the range is: \[ \text{Range} = \{-3, 2, 3, 4\} \] In summary: - **Domain**: \(\{-3, -2, -1, 0, 1\}\) - **Range**: \(\{-3, 2, 3, 4\}\)