Domain of a Function of Two Variables

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The domain of a function is the set of ordered pairs for which the function is well defined. If there is no value of corresponding to the point , then it is not in the domain of the function.

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In this Demonstration, the function is plotted as the blue surface above the artificially constructed domain .

More realistic domains include situations with a physical constraint like a wall or economic constraints like a limit imposed by an ad hoc law. In mathematics, restricted domains can arise when function becomes complex-valued or has a natural boundary.

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Contributed by: Laura R. Lynch (February 2016)
Open content licensed under CC BY-NC-SA


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