2. Consider the function f(z) = ( -3) on (0, 1]. (a) Prove that / for r, ye 0, 1], (b) Prove that / has no fixed point. (c) Why don't parts (a) and (b) of this problem contradict the contrac- tion mapping theorem?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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2 Consider the function f(z) =(z - 3) on (0, 1].
(a) Prove that f for r, yE 0, 1],
If(x) – f(w)| Sl - yl-
(b) Prove that / has no fixed point.
(c) Why don't parts (a) and (b) of this problem contradict the contrac-
tion mapping theorem?
Transcribed Image Text:2 Consider the function f(z) =(z - 3) on (0, 1]. (a) Prove that f for r, yE 0, 1], If(x) – f(w)| Sl - yl- (b) Prove that / has no fixed point. (c) Why don't parts (a) and (b) of this problem contradict the contrac- tion mapping theorem?
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