The function of the infinitive phrase in the sentence <em>To win a marathon is my goal </em>is object of the verb.
It is definitely an object, and it would follow a verb if it were a normal ordering of words in the sentence (My goal is to win a marathon), and since it is not preceded by a preposition, it cannot be object of the preposition, but of a verb.
Answer:
Most likely personal memoir. It states the things that happened to you in your life and reflects on those events. It could contain some persuasive content but nothing compared to the other options.
Explanation:
This question could go either way. A hero is just a person "idolized for being courageous". This could mean a role model, or successful person, or even a super hero. If you are talking about a super hero, technically they don't have responsibilities because they are not required to use their powers to help anyone.