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[solution] » (a) Use the Intermediate Value Theorem to show that if part of

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,(a) Use the Intermediate Value Theorem to show that if part of the graph of a polynomial functionis located below the-axis and above the-axis, then it must intersect the-axis at some number. (This numbersuch thatis called azeroof). In algebraic terms: if for some numbers,,but, then for somein the interval,. (b) Then give an example of a polynomialwithout a zero (a zero is a numbersuch that). (c) Give an example of a functionwhose graph is above the-axis and below the-axis, yetdoes not intersect the-axis.,


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