How do we know Telemachus recognizes Athena?

What name was given to a man chosen to represent the common people in Rome's government? How did the Aztecs sacrifice? Why did darius split Persia into provinces called satrapies? Why did the Aztec empire end or fall? How did the geography of Thermopylae help the Greek army that outnumbered 501 by the Persian army? Who recognizes Odysseus through his disguise? What was the terrible 3rd century? Why was timing important in ancient Greece? Why are Aztec codices interesting to historians? How did Hercules manage to defeat the Hydra in Greek mythology? How did Odysseus punish the twelve maid servants who had been disloyal? What was the Surname of Italian negotiator were called? What empire is east of Sparta and Athens? What are some godlike characteristics of Achilles? What causes a late summer in Greece? What were advantages and disadvantages of the incas in the Andes? What does it mean St. John the Apostle was exiled on the Isle of Patmos at the age of about 100 where he had a vision of Christ and of the future. Basically I am confused what the exiled part means? When was a fable first used? What isn the Edinburgh castle built on? Who would win in a battle between the Titans and the Gods?