Consider the function R(x) = (3x | 0sxs 1/3 2 - 3x |1/3 < xs 2/3 3x - 2|2/3 sx < 1} (a) Sketch a graph of R(x). (b) Find all fixed points of R

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the function R(x) = (3x | 0sxs 1/3
2 - 3x |1/3 < xs 2/3
3x - 2|2/3 sx s 1}
(a) Sketch a graph of R(x).
(b) Find all fixed points of R
(c) Show that x = 3/10 is a periodic point. What is the period?
Transcribed Image Text:Consider the function R(x) = (3x | 0sxs 1/3 2 - 3x |1/3 < xs 2/3 3x - 2|2/3 sx s 1} (a) Sketch a graph of R(x). (b) Find all fixed points of R (c) Show that x = 3/10 is a periodic point. What is the period?
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