Consider the following relation and associated functional dependencies

$R(A,B,C,D)$

$ABC$

$CD$

$DA$

Mark all Non$-$trivial functional dependencies that follow from the set above. $($hint$,$ you will have to take the closure of all combinations of $A,B,C,$ and $D).$ Be sure to use the COMBINING rule to combine ANY FDs with identical left hand sides.

$\{A\}+=$

$\{B\}+=$

$\{C\}+=$

$\{D\}+=$

$\{AB\}+=$

$\{AC\}+=$

$\{AD\}+=$

$\{BC\}+=$

$\{BD\}+=$

$\{CD\}+=$

$\{ABC\}+=$

$\{ABD\}+=$

$\{ACD\}+=$

$\{BCD\}+=$

$AC$

$AD$

$CAD$

$AB-CD$

$BCAD$

$ACBD$