Given: function f(x) with dom f = R \ {-1} lim_ f(x) =- 00, lim f(x) =+ 00, lim [f(x)-(1-x)] = 0, x--1 x->-1* x118 and lim f(x) = 2 . (-∞, - 1) - 1 (-1,0) 0 (0, 2) 2 (2, +00) f undefined 0 1 f' undefined 0 + + + f" undefined + + + 0 3. Identify the relative maximum point(s), relative minimum point(s), and point(s) of inflection of the graph of f, if any. 4. Sketch a possible graph of f. Label all linear asymptotes and important points. 00++x
Given: function f(x) with dom f = R \ {-1} lim_ f(x) =- 00, lim f(x) =+ 00, lim [f(x)-(1-x)] = 0, x--1 x->-1* x118 and lim f(x) = 2 . (-∞, - 1) - 1 (-1,0) 0 (0, 2) 2 (2, +00) f undefined 0 1 f' undefined 0 + + + f" undefined + + + 0 3. Identify the relative maximum point(s), relative minimum point(s), and point(s) of inflection of the graph of f, if any. 4. Sketch a possible graph of f. Label all linear asymptotes and important points. 00++x
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#3_PARTB]
![Given: function f(x) with dom f = R \ {-1}
lim f(x) =- 00, lim
x-1
x→-1'
and lim f(x) = 2
*→ +00
(-∞, - 1)
f(x) =+ 00, lim [f(x) (1-x)] = 0,
x →-00
- 1
(-1,0)
0
(0, 2)
2
(2, + ∞0)
f
undefined
1
f'
undefined
0
+
+
f"
undefined
+
+
+
0
3. Identify the relative maximum point(s), relative minimum point(s), and point(s) of
inflection of the graph of f, if any.
4. Sketch a possible graph of f. Label all linear asymptotes and important points.
0
+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc344e095-3b40-4f34-b650-9391b73969a3%2F4f6cc9ad-9fc6-4df4-b748-0af288149d2d%2F7zbg6mu_processed.png&w=3840&q=75)
Transcribed Image Text:Given: function f(x) with dom f = R \ {-1}
lim f(x) =- 00, lim
x-1
x→-1'
and lim f(x) = 2
*→ +00
(-∞, - 1)
f(x) =+ 00, lim [f(x) (1-x)] = 0,
x →-00
- 1
(-1,0)
0
(0, 2)
2
(2, + ∞0)
f
undefined
1
f'
undefined
0
+
+
f"
undefined
+
+
+
0
3. Identify the relative maximum point(s), relative minimum point(s), and point(s) of
inflection of the graph of f, if any.
4. Sketch a possible graph of f. Label all linear asymptotes and important points.
0
+
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