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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 1YT
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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
+
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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