A relation between two sets X and Y is a set of ordered pairs, each of the form (x, y), where x is a member of X and y is a member of Y. A function from X to Y is a relation between X and Y that has the property that any two ordered pairs with the same x-value also have the same y-value. The variable x is the independent variable, and the variable y is the dependent variable.
—from Calculus of a Single Variable, a other by Larson Hostetler Edwards
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