a) Draw y = f(x)] b) Draw y = [f(x)]² 1+ (1, -1) (1, -1) 2 2 (2.5,1) (2.5,1) i) Explain two things that happen to the priginal graph for x < 0 and -1 < y < 0 ii) Explain what happens to the points on y = f(x) where y = 0 and y = 1 when you need to sketch y = [f(x)]². iii) For what values of x will [f(x)]²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
a) Draw y = f(x)]
b) Draw y = [f(x)]²
1+
(1, -1)
(1, -1)
2
2
(2.5,1)
(2.5,1)
i) Explain two things that happen to the priginal graph for x < 0 and -1 < y < 0
ii) Explain what happens to the points on y = f(x) where y = 0 and y = 1 when you need to
sketch y = [f(x)]².
iii) For what values of x will [f(x)]² <f(x) and give a reason why?
Transcribed Image Text:a) Draw y = f(x)] b) Draw y = [f(x)]² 1+ (1, -1) (1, -1) 2 2 (2.5,1) (2.5,1) i) Explain two things that happen to the priginal graph for x < 0 and -1 < y < 0 ii) Explain what happens to the points on y = f(x) where y = 0 and y = 1 when you need to sketch y = [f(x)]². iii) For what values of x will [f(x)]² <f(x) and give a reason why?
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