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Exam 11: Polynomial and Rational Functions

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Exam 1: Linear Functions and Change125 Questionsadd course
Exam 2: Functions107 Questionsadd course
Exam 3: Quadratic Functions41 Questionsadd course
Exam 4: Exponential Functions102 Questionsadd course
Exam 5: Logarithmic Functions79 Questionsadd course
Exam 6: Transformations of Functions and Their Graphs100 Questionsadd course
Exam 7: Trigonometry in Circles and Triangles120 Questionsadd course
Exam 8: Trigonometric Functions120 Questionsadd course
Exam 9: Trigonometric Identities and Their Applications60 Questionsadd course
Exam 10: Compositions, Inverses, and Combinations of Functions64 Questionsadd course
Exam 11: Polynomial and Rational Functions143 Questionsadd course
Exam 12: Vectors and Matrices102 Questionsadd course
Exam 13: Sequences and Series81 Questionsadd course
Exam 14: Parametric Equations and Conic Sections120 Questionsadd course
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Is Is a power function? a power function?

(True/False)
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Question 61

Which of the following functions dominates as Which of the following functions dominates as ? ?

(Multiple Choice)
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Question 62

(Multiple Choice)
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Question 63

The squirrel population in a certain area is estimated each year and recorded in the table below. Suppose the squirrel population in a given year is a function of the number of years since 1998. -Fit a cubic function to the data and use it to estimate the squirrel population (rounded to the nearest whole number) in 2015. The squirrel population in a certain area is estimated each year and recorded in the table below. Suppose the squirrel population in a given year is a function of the number of years since 1998. -Fit a cubic function to the data and use it to estimate the squirrel population (rounded to the nearest whole number) in 2015.

(Short Answer)
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Question 64

Which of the following figures shows the graph of Which of the following figures shows the graph of ? ?

(Multiple Choice)
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Question 65

Let Let . Which of the following is the graph of ? . Which of the following is the graph of Let . Which of the following is the graph of ? ?

(Multiple Choice)
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Question 66

The formula for the function graphed below has leading term The formula for the function graphed below has leading term (i.e. + terms of lower degree). If n is as small as possible, then n = _____ and a = _____. (i.e. The formula for the function graphed below has leading term (i.e. + terms of lower degree). If n is as small as possible, then n = _____ and a = _____. + terms of lower degree). If n is as small as possible, then n = _____ and a = _____. The formula for the function graphed below has leading term (i.e. + terms of lower degree). If n is as small as possible, then n = _____ and a = _____.

(Short Answer)
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Question 67

Does Does have an inverse that is a function? have an inverse that is a function?

(True/False)
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Question 68

George measures the force exerted by a certain spring when it is stretched various distances beyond its natural length. The data he gathers is compiled in the following table. - He wishes to describe the force as a function of the stretched distance, and decides to use a quadratic function model. After fitting a quadratic function to the data, he uses it to estimate the force when the spring is stretched 19 inches. What is his approximation (to three decimal places) of this force? George measures the force exerted by a certain spring when it is stretched various distances beyond its natural length. The data he gathers is compiled in the following table. - He wishes to describe the force as a function of the stretched distance, and decides to use a quadratic function model. After fitting a quadratic function to the data, he uses it to estimate the force when the spring is stretched 19 inches. What is his approximation (to three decimal places) of this force?

(Short Answer)
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Question 69

Compute the following limits: a) Compute the following limits: a) b) b) Compute the following limits: a) b)

(Short Answer)
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Question 70

The number of yearly childbirths for a growing town are recorded in the table below. Suppose the number of childbirths each year is a function of the number of years since 1996. Fit a power function to the data and use it to estimate the number of childbirths (rounded to the nearest whole number) in 2012. The number of yearly childbirths for a growing town are recorded in the table below. Suppose the number of childbirths each year is a function of the number of years since 1996. Fit a power function to the data and use it to estimate the number of childbirths (rounded to the nearest whole number) in 2012.

(Short Answer)
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Question 71

The graphs ofThe graphs of And Are shown in the figure below as viewed on the window [-10, 10] by [-25, 25]. What happens as the viewing window is expanded? And The graphs of And Are shown in the figure below as viewed on the window [-10, 10] by [-25, 25]. What happens as the viewing window is expanded? Are shown in the figure below as viewed on the window [-10, 10] by [-25, 25]. What happens as the viewing window is expanded? The graphs of And Are shown in the figure below as viewed on the window [-10, 10] by [-25, 25]. What happens as the viewing window is expanded?

(Multiple Choice)
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Question 72

(Short Answer)
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Question 73

Estimate the following limits: A) Estimate the following limits: A) B) B) Estimate the following limits: A) B)

(Essay)
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Question 74

Does the figure below show an accurate graph of Does the figure below show an accurate graph of ? ? Does the figure below show an accurate graph of ?

(True/False)
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Question 75

Is Is a power function? a power function?

(True/False)
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Question 76

The infant mortality, I, in a country is related to the country's GNP (gross national product), g. Some authors (Weld and Helms, 1971) have argued that the relationship is of the form The infant mortality, I, in a country is related to the country's GNP (gross national product), g. Some authors (Weld and Helms, 1971) have argued that the relationship is of the form , where , k, and a are positive constants and . For , k = 4, and a = 2, the vertical intercept of the graph of I against g is at I = _____. If there is no vertical intercept, enter none. , where The infant mortality, I, in a country is related to the country's GNP (gross national product), g. Some authors (Weld and Helms, 1971) have argued that the relationship is of the form , where , k, and a are positive constants and . For , k = 4, and a = 2, the vertical intercept of the graph of I against g is at I = _____. If there is no vertical intercept, enter none. , k, and a are positive constants and The infant mortality, I, in a country is related to the country's GNP (gross national product), g. Some authors (Weld and Helms, 1971) have argued that the relationship is of the form , where , k, and a are positive constants and . For , k = 4, and a = 2, the vertical intercept of the graph of I against g is at I = _____. If there is no vertical intercept, enter none. . For The infant mortality, I, in a country is related to the country's GNP (gross national product), g. Some authors (Weld and Helms, 1971) have argued that the relationship is of the form , where , k, and a are positive constants and . For , k = 4, and a = 2, the vertical intercept of the graph of I against g is at I = _____. If there is no vertical intercept, enter none. , k = 4, and a = 2, the vertical intercept of the graph of I against g is at I = _____. If there is no vertical intercept, enter "none".

(Short Answer)
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Question 77

The squirrel population in a certain area is estimated each year and recorded in the table below. Suppose the squirrel population in a given year is a function of the number of years since 1998. Fit an exponential function to the data and use it to estimate the squirrel population (rounded to the nearest whole number) in 2013. The squirrel population in a certain area is estimated each year and recorded in the table below. Suppose the squirrel population in a given year is a function of the number of years since 1998. Fit an exponential function to the data and use it to estimate the squirrel population (rounded to the nearest whole number) in 2013.

(Short Answer)
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Question 78

The profit earned by a producer to manufacture and sell The profit earned by a producer to manufacture and sell units of a good is given by . The average profit for units is given by A) Compute B) Interpret the economic significance of the values in part (A). C) What trend do you notice in the values of as gets large? Explain this trend in economic terms. units of a good is given by The profit earned by a producer to manufacture and sell units of a good is given by . The average profit for units is given by A) Compute B) Interpret the economic significance of the values in part (A). C) What trend do you notice in the values of as gets large? Explain this trend in economic terms. . The average profit for The profit earned by a producer to manufacture and sell units of a good is given by . The average profit for units is given by A) Compute B) Interpret the economic significance of the values in part (A). C) What trend do you notice in the values of as gets large? Explain this trend in economic terms. units is given by The profit earned by a producer to manufacture and sell units of a good is given by . The average profit for units is given by A) Compute B) Interpret the economic significance of the values in part (A). C) What trend do you notice in the values of as gets large? Explain this trend in economic terms. A) Compute The profit earned by a producer to manufacture and sell units of a good is given by . The average profit for units is given by A) Compute B) Interpret the economic significance of the values in part (A). C) What trend do you notice in the values of as gets large? Explain this trend in economic terms. B) Interpret the economic significance of the values in part (A). C) What trend do you notice in the values of The profit earned by a producer to manufacture and sell units of a good is given by . The average profit for units is given by A) Compute B) Interpret the economic significance of the values in part (A). C) What trend do you notice in the values of as gets large? Explain this trend in economic terms. as The profit earned by a producer to manufacture and sell units of a good is given by . The average profit for units is given by A) Compute B) Interpret the economic significance of the values in part (A). C) What trend do you notice in the values of as gets large? Explain this trend in economic terms. gets large? Explain this trend in economic terms.

(Essay)
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Question 79

Find the equation of the vertical line through the Find the equation of the vertical line through the -intercept of the graph . -intercept of the graph Find the equation of the vertical line through the -intercept of the graph . .

(Short Answer)
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Question 80
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