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 x118 lim f(x) = 2 x+00 ● lim_f(x) = =18 x→−1 lim f(x) = +∞0 x-1+ (-∞, -1) -1 (-1,0) 0 (0,2) 2 (2, +∞0) f und 0 1 f' und 0 + + + f" und + + + 0 - 1. Identify the equations of all the linear asymptotes of f. ●

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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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→→∞0
lim f(x) = 2
lim_f(x) = -00
x→−1¯
lim, f(x) = +∞0
x--1+
(-∞, -1)
-1
(-1,0)
0
(0,2)
(2, +∞0)
2
1
f
und
0
f'
und
0
+
+
+
f"
und
+
+
+
0
1. Identify the equations of all the linear asymptotes of f.
●
●
∞0++x
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→→∞0 lim f(x) = 2 lim_f(x) = -00 x→−1¯ lim, f(x) = +∞0 x--1+ (-∞, -1) -1 (-1,0) 0 (0,2) (2, +∞0) 2 1 f und 0 f' und 0 + + + f" und + + + 0 1. Identify the equations of all the linear asymptotes of f. ● ● ∞0++x
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