FUNCTION, the act of fulfilling the duties of any employment.

FUNCTION is a term used in analytics for an algebraical expression in any way compounded of a certain letter or quantity with other quantities or numbers; and the expression is said to be a function of that letter or quantity.

Thus a - 4x, or ax + 3x^2, or 2x - a\sqrt{a^2 - x^2}, or x^5, or e^x, is each of them a function of the quantity x.