What role does the infinitive phrase play in this sentence arts goal is to become famous?

In the sentence "Art's goal is to become famous," the infinitive phrase "to become famous" functions as the predicate nominative.

Here's why:

* Predicate nominative: A predicate nominative is a noun or pronoun that renames or identifies the subject of the sentence. It follows a linking verb (like "is", "are", "was", "were", etc.).

* Subject: The subject of the sentence is "Art's goal".

* Linking verb: The linking verb is "is".

* Infinitive phrase: "To become famous" acts as a noun phrase, renaming and defining "Art's goal." It tells us *what* Art's goal is.

Therefore, the infinitive phrase functions as the predicate nominative, completing the sentence by clarifying the subject.