Question $2$: $(5$ points$)$

Consider a Relation $R3=(A,B,C,D,E,F)$ which has the following functional dependencies:

$ABC$

$CD-B$

$CDF$

$BF$

Which of the following must also hold:

$AB$

$AC$

$AE$

$AF$

$CE$

$ADE$

Question $3$: $(10$ points$)$

Consider the following relation

$R(A,B_{,}C,D,E,F,G),$ where

$(A,B)$ is the primary key

$(A,D)$ is a candidate key

$R$ has the following dependencies

$(A,B)C,D,E,F,G$

$(A,D)B,C,E,F,G$

$CF,G$

$DE$

Normalize R to $3$ NF