Answer: The answer is first person narrative voice.
Homes on East Egg are wealthy from long lines of generations (a son will inherit his father's fortune), whilst homes on West Egg are people who built up their fortunes (ex. people who gain money from working in industries).
Even though you didn't underline anything, there is only one pronoun in this sentence - the word them.
The case of this pronoun is objective - it functions as an object in the sentence. It is really easy to determine this - all you have to do is ask the questions <em>whom </em>or <em>what. Whom did the designer dress in black and teal costumes? </em>And the answer is - <em>Them. </em>
This way you know that the pronoun is also the object; to be more specific, it is a direct object.
Therefore, the correct answers are case: objective; function: direct object.
