The awards are being given to whichever team possesses the most spirit.

select the answer that identifies the function the noun clause performs in the sentence.

subject
direct object
object of preposition
predicate nominative

The awards are being given to whichever team possesses the most spirit. - the noun clause here is whichever team possesses the most spirit
This clause is used as object of preposition, given that it follows the preposition to.

The answer to your question would be that the function that the noun clause performs in the sentence above is object of a preposition.

Explanation:

In the sentence above, the noun clause is "whichever team possesses the most spirit". A noun clause is a clause that plays the role of a noun, that is, a noun clause can be a subject, an object, or a complement. What is more, noun clauses are dependent clauses since they can't stand alone as a sentence because they do not represent a complete thought (see 1).  In this case, the noun clause is acting as the object of the preposition to.

1) *Whichever team possesses the most spirt

The answer would be a