Show, using calculus (meaning do not simply use graphs) and the Fixed Point Theo- rem, that the function 9(x) = 1 3 x³ − ³x² − 1 x + n3 4 11 4 has at least one fixed point on the interval [1,3], BUT that fixed point may not be unique.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 61E
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Show, using calculus (meaning do not simply use graphs) and the Fixed Point Theo-
rem, that the function
1 11
-x +
4
1
g(x) = x³ – ²³x² − a
3
-
4
4
has at least one fixed point on the interval [1,3], BUT that fixed point may not be
unique.
Transcribed Image Text:Show, using calculus (meaning do not simply use graphs) and the Fixed Point Theo- rem, that the function 1 11 -x + 4 1 g(x) = x³ – ²³x² − a 3 - 4 4 has at least one fixed point on the interval [1,3], BUT that fixed point may not be unique.
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