Suppose f is a polynomial function. If f (2) = 7 and f (6) = 1, then

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Suppose f is a polynomial function. If f (−2) = 7 and f (6) = −1, then the Intermediate Value Theorem guarantees which of the following? Justify your answer.

(a) f (0) = 0

(b) f (c) = 3 for at least one number c between − 2 and 6.

(d) − 1 ≤ f (x) ≤ 7 for all numbers in the closed interval [−2, 6].

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The Intermediate Value Theorem states that if a function is continuous on a closed interval a b and ...View the full answer

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