III. Suppose that a function f(x) satisfies the following properties, together with the table of signs given below. • dom f = R \ {-1} lim [f(x)-(1-x)] = 0 X4-00 lim f(x) = 2 x →+00 lim_f(x) = -00 x-1 lim f(x) = +00 24-1+ (-∞0,-1) -1 (-1,0) 0 (0,2) 2 (2, +00) f und 1 und 0 + + + f" und + + + 0 1. Identify the relative maximum points, relative minimum points and points of inflection of f, if any. 0
III. Suppose that a function f(x) satisfies the following properties, together with the table of signs given below. • dom f = R \ {-1} lim [f(x)-(1-x)] = 0 X4-00 lim f(x) = 2 x →+00 lim_f(x) = -00 x-1 lim f(x) = +00 24-1+ (-∞0,-1) -1 (-1,0) 0 (0,2) 2 (2, +00) f und 1 und 0 + + + f" und + + + 0 1. Identify the relative maximum points, relative minimum points and points of inflection of f, if any. 0
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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![III. Suppose that a function f(x) satisfies the following properties, together with the table of signs
given below.
dom f = R\ {-1}
lim [f(x) - (1-x)] = 0
x--00
lim f(x) = 2
x →+00
lim_f(x) = -00
x→−1¯
lim f(x) = +00
x--1+
(-∞, -1)
-1
(-1,0)
(0,2)
2
(2, +∞0)
0
0
f
und
1
f'
und
0
+
+
+
f"
und
+
+
+
0
1. Identify the relative maximum points, relative minimum points and points of inflection of f, if
any.
●](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e41d0c3-bb4b-4ce6-ac75-c15fb33c1dd2%2F053fdc4e-ac76-4d07-ba43-00751ba62dbd%2Fd74nfrj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:III. Suppose that a function f(x) satisfies the following properties, together with the table of signs
given below.
dom f = R\ {-1}
lim [f(x) - (1-x)] = 0
x--00
lim f(x) = 2
x →+00
lim_f(x) = -00
x→−1¯
lim f(x) = +00
x--1+
(-∞, -1)
-1
(-1,0)
(0,2)
2
(2, +∞0)
0
0
f
und
1
f'
und
0
+
+
+
f"
und
+
+
+
0
1. Identify the relative maximum points, relative minimum points and points of inflection of f, if
any.
●
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