Q1) By using transformations of mother functions, sketch the following curves and determine the range. A) f(x) =3-e" B) f(x) = -x -2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q1) By using transformations of mother funetions, sketch the following curves and
determine the range:
A) f(x) =3-e"
B) f(x) = -2
Q2) True or False.
A) If f(x)-x² then f(x+2)-x*+4x+4
(True . False )
( True . False )
C) The equation . Log x-0 has only one solution. (True . False )
(True . False )
B) The range of f(x)-cos3x is [-3,3).
D) X-intercept of y-e* is x -1.
E) If m is any natural number, then
( True
False)
F) G(x)-Ln(x+4) has horizontal shift of Ln x.
G) The range of f(x)-Ix+3] is Z\{-3}.
H) Y-intercept of f(x)-Ln(2cos x) + 4* -9 is -8. (True False )
I) The equation sin x - 3/2 has no solution.
(True . False)
( True
False )
(True , False )
Transcribed Image Text:Q1) By using transformations of mother funetions, sketch the following curves and determine the range: A) f(x) =3-e" B) f(x) = -2 Q2) True or False. A) If f(x)-x² then f(x+2)-x*+4x+4 (True . False ) ( True . False ) C) The equation . Log x-0 has only one solution. (True . False ) (True . False ) B) The range of f(x)-cos3x is [-3,3). D) X-intercept of y-e* is x -1. E) If m is any natural number, then ( True False) F) G(x)-Ln(x+4) has horizontal shift of Ln x. G) The range of f(x)-Ix+3] is Z\{-3}. H) Y-intercept of f(x)-Ln(2cos x) + 4* -9 is -8. (True False ) I) The equation sin x - 3/2 has no solution. (True . False) ( True False ) (True , False )
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