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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Transformation of Graphs
The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.
Exponential Functions
The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c3996f2-49e7-4666-8c05-0e484efe4b77%2F32bf55a4-8f0d-4489-be05-c0ea212cf7fe%2Fcr96k4n_processed.png&w=3840&q=75)
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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