For the following graph of f(x), fill in the table for fx). 12 10 4

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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For the following graph of f(x), fill in the table for f(x).
B9 10
-16-
Interval
Behavior of
F'(x)
Behavior of
F(x)
-4.-2.75) (-2.75, 0) 0
0.2)
2
2,3)
asymptote
-4.-2.75)
2.3)
negative
negative asymptote then
positive
decreasing
decreasing asymptote then
Increasing
Interval
(-2.75, 0) 0
0.2)
Behavior of
o F(x)
negative
positive
behavior of
F(x)
ncreasing Increasing o
Interval
-4.-2.75) (-2.75, 0) 0
2
2.3)
negative
negative asymptote then
positive
decreasing
then
Increasing
(0,2)
Behavior of
o F(x)
hegative
positive
Behavior of
F (x)
ncreasing Increasing constant
decreasing 0
Interval
-4,-2.75) -2.75, 0) b
0.2)
2,3)
negative
negative asymptote then
positive
decreasing
decreasing asymptote then
Increasing
2
Behavior of
o Fx)
negative
positive
10
Behavior of
F(x)
decreasing increasing constant
2
2.3)
negative
asymptote then
positive
Interval
-4.-2.75) -2.75. 0) 0
0.2)
Behavior of
F(x)
negative
positive
negative
Behavior of
F(x)
decreasing o
increasing increasing constant
decreasing
Transcribed Image Text:For the following graph of f(x), fill in the table for f(x). B9 10 -16- Interval Behavior of F'(x) Behavior of F(x) -4.-2.75) (-2.75, 0) 0 0.2) 2 2,3) asymptote -4.-2.75) 2.3) negative negative asymptote then positive decreasing decreasing asymptote then Increasing Interval (-2.75, 0) 0 0.2) Behavior of o F(x) negative positive behavior of F(x) ncreasing Increasing o Interval -4.-2.75) (-2.75, 0) 0 2 2.3) negative negative asymptote then positive decreasing then Increasing (0,2) Behavior of o F(x) hegative positive Behavior of F (x) ncreasing Increasing constant decreasing 0 Interval -4,-2.75) -2.75, 0) b 0.2) 2,3) negative negative asymptote then positive decreasing decreasing asymptote then Increasing 2 Behavior of o Fx) negative positive 10 Behavior of F(x) decreasing increasing constant 2 2.3) negative asymptote then positive Interval -4.-2.75) -2.75. 0) 0 0.2) Behavior of F(x) negative positive negative Behavior of F(x) decreasing o increasing increasing constant decreasing
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