Describe Domain and Range of a Function

We can write the domain and range in interval notation which uses values within brackets to describe a set of numbers. The set X is called the domain of the function and the set Y is called the codomain of the function.

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For example the position of a planet is a function of time.

. In mathematics a function from a set X to a set Y assigns to each element of X exactly one element of Y. We can visualize the domain as a holding area that contains raw materials for a function machine and the range as another holding area for the machines products Figure 332. Citation neededFunctions were originally the idealization of how a varying quantity depends on another quantity.

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