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Bivariate Functions : Domain, Range and Intercepts

F(x,y) = x^2 + y^2

Are the xyz-intercepts all 0?
The domain looks like it is all real #s.
Is the range also all real #'s?
I also see the graph is continuous on all points. Really I am just confused about the range.

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Domain, Range and Intercepts of a function are found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.