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Let g : R R be a polynomial function of even degree and let B ={ g ( x )| x R } be the

Letg:RRbe a polynomial function of even degree and letB={g(x)|xR} be the range ofg. Definegsuch 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 whyBdoes not have an infimum.

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