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2 Answers

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Any attribute that can be used to uniquely identify a row can be a super key and a minimal super key is called as candidate key.

Since the key here has only one attribute, it is a candidate key.
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Here ,we may say that A->BCD ,FD holds for this instance
And $A^+={A,B,C,D}$

But FD s are defined on the schema itself not the instance, so based on the state of the instance
we cannot say what holds for schema (there can be a many instances for R).
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