This is the 459th most frequent Japanese word.
たくさん
"たくさん" means "a lot" or "many."
たくさん is used here as a quantifier for the noun homework, indicating a large quantity.
まいにちたくさんのしゅくだいがあります。
I have a lot of homework every day.
たくさん is used as an adverb describing the verb eat, indicating doing the action extensively.
たくさんたべてください。
Please eat a lot.
たくさん is used as a modifier for the noun hobbies, expressing the idea of having a variety.