b. Given a table with attributes A, B, and C, can you determine the functional dependencies that hold within the table based on a set of example data?

Yes, it is possible to determine the functional dependencies that hold within a table based on a set of example data. Here are the steps:

1. Observe the Data: Look at the data in the table. If there are any patterns or relationships between the attributes, these could indicate functional dependencies.

2. Identify Candidate Keys: A candidate key is a set of attributes that can uniquely identify a tuple. If you can identify any candidate keys, these will be the left-hand side of your functional dependencies.

3. Test Dependencies: For each pair of attributes, test if a functional dependency exists. This means that for every instance of a particular value in attribute A, there is a consistent corresponding value in attribute B. If this is true, then A functionally determines B (denoted A -> B).

4. Repeat: Repeat this process for all pairs of attributes in the table.

5. Check for Transitive Dependencies: If you have a functional dependency A -> B and another dependency B -> C, then a transitive dependency A -> C exists.

Remember, functional dependencies are a property of the semantics of the attributes in a table, and the dependencies identified from a particular set of example data may not hold for all possible data that could be stored in the table. Therefore, while example data can be used to hypothesize functional dependencies, they should be confirmed with the person who understands the data and its semantics.