function

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function In mathematics, rule that assigns a unique value to each element of a given set. The given set is the domain of the function, and the set of values is the range. Two or more elements of the domain may be assigned the same value, but a function must assign only one value to each element of the domain. A function f maps each element x of the domain to a corresponding element (or value) y in the range. Here x and y are variables, with y dependent on x through the functional relationship f. The dependent variable y is said to be a function of the independent variable x. For example, the square-root is a function, its domain and range being the non-negative real numbers. See also trigonometric function

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