DefinitionA function is a relation in mathematics that is between two sets, it gives an output of one value based on one input value from another set. A function is a set of ordered pairs that can be expressed as an algebraic expression, graphic or spoken form. A function describes how one quantity depends on another and can be used to model, calculate, find answers, etc. in many different fields of math and science. It may be linear, quadratic, exponential, trigonometric, or other that faitly used in the large number of calculus, analysis, and scientific/mathematical modeling fields. For example, then f maps each real number x to its double plus three. Thus f equals 7 and f equals 1.