function vs mathematics

function and mathematics both are nouns.

Word	Noun	Adjective	Verb	Adverb
function	Yes	No	Yes	No
mathematics	Yes	No	No	No

function (noun)	mathematics (noun)
the actions and activities assigned to or required or expected of a person or group	a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
what something is used for
a set sequence of steps, part of larger computer program
a formal or official social gathering or ceremony of people
a formal or official social gathering or ceremony
(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
a relation such that one thing is dependent on another

function (verb)	mathematics (verb)
perform duties attached to a particular office or place or function
perform as expected when applied
serve a purpose, role, or function