They can give the poem or line an extra layer
The correct answer is answer choice C, "I am Odysseus, son of Laertes, known to the world for every kind of craft - my fame has reached the skies". A hyperbole is, simply put, an exaggeration. Odysseus' fame has not literally reached the skies; he is simply exaggerating his fame to get his point across. For instance, when someone wants to go somewhere, and wants to convince a friend to come with them, they might say 'everyone's going', or something along those lines. However, everyone in the world is not literally going; that someone is simply exaggerating to make a point.
A. They are not the same person