Use the intermediate value theorem to show that the polynomial function has a zero in the given interval. f(x) = 6x° + 7x² -6x + 1; [-3, – 1] %3D Find the value of f(- 3). f(- 3) = |_ (Simplify your answer.) Find the value of f( – 1). f(- 1) = _ (Simplify your answer.) According to the intermediate value theorem, does f have a zero in the given interval? Yes O No

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.CT: Chapter Test
Problem 26CT
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Use the intermediate value theorem to show that the polynomial function has a zero in the given interval.
f(x) = 6x³ + 7x² –6x + 1; [-3, – 1]
>
October - No
Find the value of f(- 3).
f( – 3) = | (Simplify your answer.)
Find the value of f(- 1).
f(- 1) =| (Simplify your answer.)
According to the intermediate value theorem, does f have a zero in the given interval?
Yes
No
Transcribed Image Text:urrent Entir Use the intermediate value theorem to show that the polynomial function has a zero in the given interval. f(x) = 6x³ + 7x² –6x + 1; [-3, – 1] > October - No Find the value of f(- 3). f( – 3) = | (Simplify your answer.) Find the value of f(- 1). f(- 1) =| (Simplify your answer.) According to the intermediate value theorem, does f have a zero in the given interval? Yes No
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