Functional dependency basics — evaluate the statement:\n“A functional dependency is a relationship between or among attributes.” Decide whether this description is correct or incorrect.

Difficulty: Easy

Correct Answer: Correct — it is a constraint relating attributes (determinant → dependent)

Explanation:


Introduction / Context:
Functional dependencies (FDs) formalize how some attributes determine others in a relation. They are foundational to normalization decisions (3NF, BCNF) and to reasoning about keys and redundancy.



Given Data / Assumptions:

  • An FD X → Y states that, for any two tuples in a relation, if they agree on X, they must agree on Y.
  • X and Y are sets of attributes within the same relation schema.
  • FDs are semantic constraints, not merely empirical correlations.


Concept / Approach:
Because both sides of an FD are attribute sets of the same relation, it is indeed a relationship among attributes (often between a determinant set and a dependent set). It does not represent an inter-relation constraint like referential integrity, nor does it require composite keys or foreign keys to exist.



Step-by-Step Solution:

Identify objects involved in an FD: attributes within one relation.Interpretation: agreement on X implies agreement on Y — a constraint among attributes.Therefore, the statement characterizes FDs correctly.No additional conditions (keys, foreign keys) are required.


Verification / Alternative check:
Example: In Student(roll_no, name), roll_no → name is an FD between attributes; if roll_no repeats, the name must repeat identically.



Why Other Options Are Wrong:

  • FDs are not inter-relation constraints; referential integrity handles cross-relation links.
  • Composite keys are irrelevant to whether FDs exist.
  • Sample data is not necessary; FDs reflect business rules and are defined over all possible instances.


Common Pitfalls:
Mistaking FDs for correlations in a sample; assuming FDs require keys; conflating FDs with foreign keys.



Final Answer:
Correct — it is a constraint relating attributes (determinant → dependent)

More Questions from The Relational Model and Normalization

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