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Question: 7 ifec x and if fis a function defined on...

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7. IfEc X and if fis a function defined on X, the restriction of fto E is the function g whose domain of definition is E, such that g(p)-f(p) for pe E. Define fand g if (x, y)(0,0). Prove that f is bounded on R, that g is unbounded in every neighborhood of (0,0), and that fis not continuous at (0, 0); nevertheless, the restrictions of both fand g to every straight line in R are continuous!
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