Suppose a relation has attributes A, B, C, D, E, F, G, H with the following functional dependencies:

AF->C B->EG CD->GH BC->AF DEH->AF DE->G

a) Extract an example of a transitive functional dependency

b) Find the closure of {ABF}, that is {ABF}+

c) Does the functional dependency AB->F follow?

d) Does the functional dependency BCGF follow?

e) Come up with your own functional dependency (not a trivial one!) that follows from the functional dependencies above.