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Let g: R→R be a polynomial function of even degree and let B={g(x) ER) be the range of g. Define g such that it has at least two terms. 1. Using the properties and definitions of the real number system, and in particular the definition of infimum, construct a formal proof showing inf(B) exists OR explain why B does not have an infimum. 2. Using the properties and definitions of the real number system, and in particular the definition of supremum, construct a formal proof showing sup(B) exists OR explain why B does not have a supremum.

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