Odysseus was an example of trait 4 (Travels Over A Vast Setting) because he spent a lot of his time of war at many different places.
From "Sailing From Troy" and "The Lotus Eaters", Odysseus was both Trait 3 and Trait 4.
He was Trait 3 (Great Warrior) because he spent many years at war.
Odysseus showed trait 2 (Capable of Great Deeds of Deep Strength and Courage) in "The Cyclops". When he stabbed the Cyclops in the eye that showed how courageous he was.
In "The Land of The Dead" his Epic hero trait would be trait 6 (Humility). Everyone considered Odysseus as the "great Captain" but he never bragged about his fame. Instead, he kept being himself and completing great deeds.
In "The Sirens", his Epic Hero trait is trait 7 (Faces Supernatural Foes and/or Receives Supernatural Help). He received help from a goddess and she gave him advice.
Odysseus can be seen with trait 5 (National Heroism) because his home knew him as a king before anyone else.
Odysseus shows trait number 1 (A Noble Birth) because he is the King of Ithaca. This shows the noble birth trait because he is above average from everyone else.