Final answer:
The infinitive phrase in the sentence provided is 'to come up with fresh flavors every time', functioning as the object of the verb 'likes'.
Step-by-step explanation:
The infinitive phrase in the sentence 'The baker likes to come up with fresh flavors every time.' is 'to come up with fresh flavors every time'. An infinitive phrase typically consists of an infinitive, which is the base form of a verb with 'to', and can include objects or modifiers. In this case, the infinitive phrase is functioning nominally as the object of the verb 'likes'.