Domain of a Function of Two Variables
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.[more]
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.[less]