city vs Rochester

city and Rochester both are nouns.

Word	Noun	Adjective	Verb	Adverb
city	Yes	No	No	No
Rochester	Yes	No	No	No

city (noun)	Rochester (noun)
people living in a large densely populated municipality	a city in western New York; a center of the photographic equipment industry
a large and densely populated urban area; may include several independent administrative districts	a town in southeast Minnesota
an incorporated administrative district established by state charter