Answer:
Infinitive phrase: To play quietly.
Use: Adverb
Step-by-step explanation:
Infinitives are introduced as the non-finite or the basic form of the verb without any articulation linking it to a particular subject. Infinitive phrases are the part of the sentence that includes a group of words with an infinitive. These phrases may function as a verb, adverb or noun. Thus, the phrase that justifies the above claim is "to play quietly" which if functioning as an adverb here.