1. **Problem Statement:** Determine whether the set of ordered pairs \(\{(b, a), (c, d), (d, a), (c, d), (a, d)\}\) is a function from \(W = \{a, b, c, d\}\) into \(W\). 2. **Definition of a Function:** A set of ordered pairs is a function if every element in the domain (here \(W\)) appears exactly once as the first element of an ordered pair. This means each input has exactly one output. 3. **Check the domain elements:** The domain is \(W = \{a, b, c, d\}\). - Look at the first elements of the pairs: \(b, c, d, c, a\). - Notice that \(c\) appears twice as the first element: \((c, d)\) and \((c, d)\) (repeated pair). 4. **Conclusion:** Since \(c\) appears more than once as the first element, the set is not a function (each input must have exactly one output). **Final answer:** The set \(\{(b, a), (c, d), (d, a), (c, d), (a, d)\}\) is **not** a function from \(W\) into \(W\).