Compare Greek culture, values or ideals (as seen in The Odyssey) with biblical ideas.
You have to recognize the fact that Mythology was the ancient Greeks religion. In almost all societies, the moral fiber is introduced through religion be it Christianity, Catholicism, Buddhism, Taoism, Muslim, Wiccan, Pagan, etc. So, you will need to decide which values and ideals from the Bible (I will assume your teacher is referring to the Christian Bible) you would like to address and compare it to what the Greek culture deemed important and morally righteous given their religion. Think of how Odysseus prayed to the different Gods for different forms of help. How do we do this in Christian society?
Go to the link below and visit the other links for more information and facts.