A function p(x) has the following features: y intercept: y = 0 Vertical asymptote at x = 1 Relative minima: (-4.5,-1.1), (4.4,−1.7) Intervals of increase: x € (-4.5,-1.1) U (4.4, 5] Inflection points: (-2.6, 0.9) Concave up: x € [-5.0,-2.6) U (1,5] x intercepts: x = −π, 0, Relative maxima: (-1.1, 2.5) Intervals of decrease: x € [-5, -4.5) U (−1.1, 1) U (1, 4.4) Concave down: x € (-2.6, 1)

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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A function p(x) has the following features:
y intercept: y = 0
Vertical asymptote at x = 1
Relative minima:
(−4.5,-1.1), (4.4, −1.7)
Intervals of increase:
x € (-4.5,-1.1) U (4.4, 5]
Inflection points: (-2.6, 0.9)
Concave up: x € [-5.0,-2.6) U (1,5]
x intercepts: x = -л, 0, π
Relative maxima: (-1.1, 2.5)
Intervals of decrease:
x € [-5, -4.5) U (−1.1, 1) U (1, 4.4)
Concave down: x € (-2.6, 1)
Transcribed Image Text:A function p(x) has the following features: y intercept: y = 0 Vertical asymptote at x = 1 Relative minima: (−4.5,-1.1), (4.4, −1.7) Intervals of increase: x € (-4.5,-1.1) U (4.4, 5] Inflection points: (-2.6, 0.9) Concave up: x € [-5.0,-2.6) U (1,5] x intercepts: x = -л, 0, π Relative maxima: (-1.1, 2.5) Intervals of decrease: x € [-5, -4.5) U (−1.1, 1) U (1, 4.4) Concave down: x € (-2.6, 1)
Sketch the graph of p(x) labelling its key points.
ty
-6
-5
-4
-3
-2
-1
6
5
4
3
2
1
0
-1
-2
-3
-4
-5
-6
1
2
3
لیا
t
5
сл
6 X
Transcribed Image Text:Sketch the graph of p(x) labelling its key points. ty -6 -5 -4 -3 -2 -1 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 1 2 3 لیا t 5 сл 6 X
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