a) Determine if the relation is also a function. b) Give the domain and range of the relation or function. \( \{(6,8),(9,2),(4,1),(9,4),(6,9),(4,4)\} \)

To determine if the given relation is 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) Determine if the relation is also a function. The given relation is: \[ \{(6,8),(9,2),(4,1),(9,4),(6,9),(4,4)\} \] Now, let's look at the first elements (inputs) of each ordered pair: - The input \(6\) appears in the pairs \((6,8)\) and \((6,9)\). - The input \(9\) appears in the pairs \((9,2)\) and \((9,4)\). - The input \(4\) appears in the pairs \((4,1)\) and \((4,4)\). Since the inputs \(6\), \(9\), and \(4\) are associated with more than one output, the relation is **not a function**. ### b) Give the domain and range of the relation or function. **Domain**: The domain of a relation is the set of all first elements (inputs) from the ordered pairs. From the pairs: - The first elements are \(6\), \(9\), and \(4\). Thus, the domain is: \[ \text{Domain} = \{6, 9, 4\} \] **Range**: The range of a relation is the set of all second elements (outputs) from the ordered pairs. From the pairs: - The second elements are \(8\), \(2\), \(1\), \(4\), and \(9\). Thus, the range is: \[ \text{Range} = \{8, 2, 1, 4, 9\} \] ### Summary: - The relation is **not a function**. - The **domain** is \(\{6, 9, 4\}\). - The **range** is \(\{8, 2, 1, 4, 9\}\).