Hi there!
My name is Chris, and I'll be assisting you today.
The sentence in the problem is:
My father delivers packages for FedEx.
Your goal is to find the verb in the sentence. A verb is the action word. So now the question is: Which word shows action?
The word My shows possession. You cannot my so this is not the answer.
The word father is a noun. You cannot father so this is not the answer.
The word delivers is a verb. You can deliver, so this is your answer.
The answer is: Delivers.