Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
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Question
![Show that x3 +x – 1 has a root in the interval [0,1]. (Reminder: a root is a value of xsuch that
f(x) = 0.) Hint: Use the Intermediate Value Theorem, if you can verify that its conditions are
met by this function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38e4eb1d-f814-44b2-a8ba-8ebdda5b5521%2F10de7324-668f-469b-864d-e0e6b1c5e1cb%2F391gxyi_processed.png&w=3840&q=75)
Transcribed Image Text:Show that x3 +x – 1 has a root in the interval [0,1]. (Reminder: a root is a value of xsuch that
f(x) = 0.) Hint: Use the Intermediate Value Theorem, if you can verify that its conditions are
met by this function.
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