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Deck 4: Section 6: Applications of Differentiation
Full screen (f)
Question
The graph of a function f is is shown below. 
Sketch the graph of the derivative 
.
A)
B)
C)
D)
E)
Sketch the graph of the derivative .A)
B)
C)
D)
E)
Question
The graph of f is shown below. For which values of x is 
zero? 
A)
B)
C)
D)
E)
zero? A)
B)
C)
D)
E)
Question
The graph of a function f is is shown below. Sketch the graph of the derivative 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The graph of a function f is is shown below. Sketch the graph of the derivative 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Sketch a graph of the function 
over the interval 
.
A)
B)
C)
D)
E)
over the interval .A)
B)
C)
D)
E)
Question
Analyze and sketch a graph of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Analyze and sketch a graph of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
The graph of f is shown below. For which value of x is 
minimum? 
A)
B)
C)
D)
E)
minimum? A)
B)
C)
D)
E)
Question
Determine the slant asymptote of the graph of 
.
A)
B)
C)
D)
E) no slant asymptotes
.A)
B)
C)
D)
E) no slant asymptotes
Question
Analyze and sketch a graph of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
The graph of f is shown below. For which value of x is 
zero? 
A)
B)
C)
D)
E)
zero? A)
B)
C)
D)
E)
Question
The graph of f is shown below. On what interval is 
an increasing function? 
A)
B)
C)
D)
E)
an increasing function? A)
B)
C)
D)
E)
Question
Analyze and sketch a graph of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Analyze and sketch a graph of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Analyze and sketch a graph of the function 
.
A)
B)
C)
D)
E) none of the above
.A)
B)
C)
D)
E) none of the above
Question
Analyze the graph of the function 
. Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.
A)
B)
C)
D)
E)
. Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.A)
B)
C)
D)
E)
Question
Sketch a graph of the function 
over the interval 
.
A)
B)
C)
D)
E)
over the interval .A)
B)
C)
D)
E)
Question
Analyze and sketch a graph of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
The graph of a function f is is shown below. Sketch the graph of the derivative 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model 
Write the linear model in exponential form.
A)
B)
C)
D)
E)
Write the linear model in exponential form.A)
B)
C)
D)
E)
Question
A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when 
using the relation 
. Round your answer to one decimal place. 
A)
B)
C)
D)
E)
using the relation . Round your answer to one decimal place. A)
B)
C)
D)
E)
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Deck 4: Section 6: Applications of Differentiation
1
The graph of a function f is is shown below. Sketch the graph of the derivative .
A)
B)
C)
D)
E)
Sketch the graph of the derivative .A)
B)
C)
D)
E)
2
The graph of f is shown below. For which values of x is zero?
A)
B)
C)
D)
E)
zero? A)
B)
C)
D)
E)
3
The graph of a function f is is shown below. Sketch the graph of the derivative .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
4
A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 22 flashcards in this deck.
Unlock Deck
k this deck
5
The graph of a function f is is shown below. Sketch the graph of the derivative .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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Unlock for access to all 22 flashcards in this deck.
Unlock Deck
k this deck
6
Sketch a graph of the function over the interval .
A)
B)
C)
D)
E)
over the interval .A)
B)
C)
D)
E)
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Unlock for access to all 22 flashcards in this deck.
Unlock Deck
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7
Analyze and sketch a graph of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 22 flashcards in this deck.
Unlock Deck
k this deck
8
Analyze and sketch a graph of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 22 flashcards in this deck.
Unlock Deck
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9
The graph of f is shown below. For which value of x is minimum?
A)
B)
C)
D)
E)
minimum? A)
B)
C)
D)
E)
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Unlock for access to all 22 flashcards in this deck.
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10
Determine the slant asymptote of the graph of .
A)
B)
C)
D)
E) no slant asymptotes
.A)
B)
C)
D)
E) no slant asymptotes
Unlock Deck
Unlock for access to all 22 flashcards in this deck.
Unlock Deck
k this deck
11
Analyze and sketch a graph of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 22 flashcards in this deck.
Unlock Deck
k this deck
12
The graph of f is shown below. For which value of x is zero?
A)
B)
C)
D)
E)
zero? A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 22 flashcards in this deck.
Unlock Deck
k this deck
13
The graph of f is shown below. On what interval is an increasing function?
A)
B)
C)
D)
E)
an increasing function? A)
B)
C)
D)
E)
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Unlock for access to all 22 flashcards in this deck.
Unlock Deck
k this deck
14
Analyze and sketch a graph of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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Unlock for access to all 22 flashcards in this deck.
Unlock Deck
k this deck
15
Analyze and sketch a graph of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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Unlock for access to all 22 flashcards in this deck.
Unlock Deck
k this deck
16
Analyze and sketch a graph of the function .
A)
B)
C)
D)
E) none of the above
.A)
B)
C)
D)
E) none of the above
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Unlock for access to all 22 flashcards in this deck.
Unlock Deck
k this deck
17
Analyze the graph of the function . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.
A)
B)
C)
D)
E)
. Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 22 flashcards in this deck.
Unlock Deck
k this deck
18
Sketch a graph of the function over the interval .
A)
B)
C)
D)
E)
over the interval .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 22 flashcards in this deck.
Unlock Deck
k this deck
19
Analyze and sketch a graph of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 22 flashcards in this deck.
Unlock Deck
k this deck
20
The graph of a function f is is shown below. Sketch the graph of the derivative .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 22 flashcards in this deck.
Unlock Deck
k this deck
21
A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model Write the linear model in exponential form.
A)
B)
C)
D)
E)
Write the linear model in exponential form.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 22 flashcards in this deck.
Unlock Deck
k this deck
22
A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when using the relation . Round your answer to one decimal place.
A)
B)
C)
D)
E)
using the relation . Round your answer to one decimal place. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 22 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 22 flashcards in this deck.
