Answer:
D. an adjectival phrase
Explanation:
The prepositional phrase for his team consists of the preposition for and the object of the preposition his team.
In a sentence, prepositional phrases can function in three ways: as a noun, as an adjective, or as an adverb.
If a prepositional phrase functions as an <em>adjective</em>, it is an <em>adjectival phrase</em>.
In this sentence, the preposition for is telling us the relationship between the team and the spirit. Since the word <em>spirit</em> is a <u>noun</u>, this is an <u>adjectival phrase</u>.
Once again:
the prepositional phrase for his team functions as an <u>adjective</u> because it modifies the <u>noun</u><em> spirit</em>. It is an adjectival phrase.