Can someone please help me with these questions??

1. The following sentence contains a __?
Rachel prefers to ride her horse in the mornings.
Answer Choice:
no infinitive
an infinitive
an infinitive phrase

2. The following sentence contains a __?
She went eagerly to college in the fall.
Answer Choice:
no infinitive
an infinitive
an infinitive phrase

3. Mr. Hutton asked me to help with the younger children.
This sentence contains _____.
Answer Choice:
no infinitive
an infinitive phrase with a subject
an infinitive only
an infinitive phrase with a direct object