A fixed point iteration method uses Xk+1 = g(xk) where the derivative g'(x) is plotted below. The initial value of the iteration is chosen from some interval I [xmin, xmax ], and we know the root of g(x) is also in the interval I. To the nearest integer, what is the lowest possible x min? To the nearest integer, what is the largest possible integer Xmax ? g'(x) 1.5 1 0.5 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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A fixed point iteration method uses Xk+1 = g(xk) where the
derivative g'(x) is plotted below. The initial value of the
iteration is chosen from some interval I = [xmin, Xmax], and we
know the root of g(x) is also in the interval I.
To the nearest integer, what is the lowest possible xmin?
To the nearest integer, what is the largest possible integer
Xmax ?
g'(x)
1.5
1
0.5
0
-0.5
-1
-1.5
-3
-2
-1
X
0
1
2
Transcribed Image Text:A fixed point iteration method uses Xk+1 = g(xk) where the derivative g'(x) is plotted below. The initial value of the iteration is chosen from some interval I = [xmin, Xmax], and we know the root of g(x) is also in the interval I. To the nearest integer, what is the lowest possible xmin? To the nearest integer, what is the largest possible integer Xmax ? g'(x) 1.5 1 0.5 0 -0.5 -1 -1.5 -3 -2 -1 X 0 1 2
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