Answer:
D. an adjectival phrase
Step-by-step 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 adjective, it is an adjectival phrase.
In this sentence, the preposition for is telling us the relationship between the team and the spirit. Since the word spirit is a noun, this is an adjectival phrase.
Once again:
the prepositional phrase for his team functions as an adjective because it modifies the noun spirit. It is an adjectival phrase.