FUNCTION, a term used in analytics for an algebraical expression any how 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 a = x + 3x^2, or 2x = a\sqrt{a^2 - x^2}, or x, or x^2, is each of them a function of the quantity x.