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Calculus: Domain, Range, Intercepts


Is the domain (-infinity, 0) union (0, infinity)?
Is the range (0, 1]?
What are the x and y intercepts and is the z intercept undefined?

Solution Preview


The function exists for all pairs (x, y), except those that would make the denominator equal to 0. x^2 + y^2 = 0 when x = 0 and y = 0. However, x could equal 0 if y is some other number, and vice versa. The domain is all points in the x-y plane except for the ...