f) justify your conclusion) Coordinates of any points of inflection (State all points that you considered and Sketch the graph of f(x), labeling all key points mentioned in the above parts.
f) justify your conclusion) Coordinates of any points of inflection (State all points that you considered and Sketch the graph of f(x), labeling all key points mentioned in the above parts.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
f,g only
Transcribed Image Text:f)
justify your conclusion)
Coordinates of any points of inflection (State all points that you considered and
g)
Sketch the graph of f6x), labeling all key points mentioned in the above parts.
Transcribed Image Text:Given the function below:
/(x)-+r-2+2
+r-2
Find the domain of the fumction above, Write the domain in interval notation.
Doman:(- 2)U(2.1)U(1 -)
b)
hundredth where applicable)
Find the intercepts (x, -intercepts); write as ordered pair. (round to the nearest
x-(-1,0),(-1.76A,0)
9-(0,1)
Find equations of any vertical or horizontal asymptotes. If there are no asymptotes,
state that. (You must use the definition of vertical asymptotes)
Vert:cal Asympto tes:X= -a1
No Hor.zontal Asymptotes
Find coordinates of all relative extrema and the intervals where the function is
d).
increasing decreasing. (You may use maple. However, you must clearly show how you used
the first derivative test?) Round to the nearest hundredth where applicable)
7.23
l0.66
13.391
f(x)
f(x)
Neaative O
Pootive
Pos tve
|(-0,-2.37)x-2.37|(-237-1.59)|x=-1,54|(-1,54,|47) x-1.47 (1.47,00)
(-2.37,7.22), U.17, 3.34)
Negat.ve
Reiative Extrema: (-154,0.66)
Relat.ve Marma
Relative Minima
Increasing: (-2.37,-1.54)(1.47, 0)
Decreasing: (-o, -2.37)(-1,54,1.47)
Find intervals where the function is concave up and where the function is concave
e) (
down, (Round to the nearest hundredth where applicable) You may use maple. However, you
must clearly show how you used the second derivative)
up
Ied lau
f(x)
Iccup
cc down
r'(x)
(-0,-2)(-2,-1.0us)1.1045,0.106) (0.1015,1) |(1, 00)
Concave UD: (-00, - 2)((-1-10,0.10) ond (ho)
Concave Down: (-N,-1.10), Co.10, 1)
2.
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