function

(noun) (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). Synonyms: mathematical function, single-valued function, map, mapping.

(noun) what something is used for. Synonyms: purpose, role, use. Examples: "The function of an auger is to bore holes." "Ballet is beautiful but what use is it?."

(noun) the actions and activities assigned to or required or expected of a person or group. Synonyms: office, part, role. Examples: "The function of a teacher." "The government must do its part." "Play its role."

(noun) a relation such that one thing is dependent on another. Examples: "Height is a function of age." "Price is a function of supply and demand."

(noun) a formal or official social gathering or ceremony. Examples: "It was a black-tie function."

(noun) a vaguely specified social event. Synonyms: affair, occasion, social occasion, social function. Examples: "The party was quite an affair." "An occasion arranged to honor the president." "A seemingly endless round of social functions."

(noun) a set sequence of steps, part of larger computer program. Synonyms: routine, subroutine, subprogram, procedure.

(verb) perform as expected when applied. Synonyms: work, operate, go, run. Examples: "The washing machine won't go unless it's plugged in." "Does this old car still run well?." "This old radio doesn't work anymore."

(verb) serve a purpose, role, or function. Synonyms: serve. Examples: "The tree stump serves as a table." "The female students served as a control group." "This table would serve very well." "His freedom served him well." "The table functions as a desk."

(verb) perform duties attached to a particular office or place or function. Synonyms: officiate. Examples: "His wife officiated as his private secretary."