College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 80E
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Question
a. Use the Intermediate Value Theorem to confirm that the given polynomial has at least one zero within the given interval.
f(x)=x5 −6x,betweenx=1andx=2.Youmustshowyourwork.
b. Interpret the results using the Intermediate Value Theorem. Because f is a polynomial
function and since f(1) is ___________ (negative or positive) and f(2) is ___________
(negative or positive) there ___________ (is or is not) at least one real zero
between x = 1 and x = 2.
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