Deck 1: Functions

Question 1

Below is a graph of a function . Find the average rate of change in from 2 to 4 .

A) 60
B) -5
C) -10
D) None of the above

Answer 1

B

Question 2

Choose the answer that best completes the following sentence. A graph that is decreasing and concave up represents a function that is ...

A) increasing at an increasing rate
B) increasing at a decreasing rate
C) decreasing at a decreasing rate
D) decreasing at an increasing rate

Answer 2

C

Question 3

A) 63.28
B) 61.75
C) 64.44
D) 46.62

Answer 3

D

Question 4

A) 0.82
B) 4.91
C) 2
D) 2.86

Question 5

Below is a graph of a function . What is the value of ?

A) 8
B) 9
C) 5
D) None of the above

Question 6

Choose the answer that best completes the following sentence. A point of inflection occurs where...

A) concavity changes
B) concavity is at a maximum
C) the graph is increasing
D) the graph is bent

Question 7

The following table shows average rice yield, in tons per hectare, in Asia years since 1980. Use the average rate of change to estimate the yield in 1993.

A) 3.61 tons per hectare
B) 3.68 tons per hectare
C) 3.75 tons per hectare
D) None of the above

Question 8

The temperature in degrees Fahrenheit can be estimated from the number of cricket chirps per minute. If a cricket chirps 40 times per minute, the temperature is approximately 50 degrees Fahrenheit.
The average rate of change in temperature is 0.25 degree per chirp per minute. Use these facts to estimate
The temperature when a cricket chirps 67 times per minute.

A) 56.75 degrees
B) 51 degrees
C) 40.25 degrees
D) none of the above

Question 9

Below is a graph of a function . What is the limiting value for ?

A) 60
B) 20
C) 50
D) None of the above

Question 10

A) 6.73
B) 424.7
C) 10.92
D) None of the above

Question 11

A balloon that originally holds 13.6 cubic inches of air springs a leak. Let represent the volume, in cubic inches, of air in the balloon minutes after the balloon starts to leak air. The average rate
Of change of is cubic inches per minute. Use these facts to estimate .

A) 13.6 cubic inches
B) 19.72 cubic inches
C) 12.93 cubic inches
D) none of the above

Question 12

A) 23.18
B) 20.26
C) -5.64
D) 26.5

Question 13

A) 104.59
B) 1126.82
C) 393.76
D) -393.76

Question 14

The following table shows the number of bird species found on an island of area square miles that is part of a particular Pacific island chain. Calculate the average rate of change in the number of species as the area changes from 30 to 40 square miles.

A) 1.52 species per square mile
B) 39 species per square mile
C) 0.3 species per square mile
D) None of the above

Question 15

You put a drink in the freezer to cool. You take it out of the freezer when it is cold. But you forget about the drink and leave it sitting on the kitchen counter. The graph below shows the temperature, in
Degrees, of the drink minutes after the drink is placed in the freezer. What is the temperature in the kitch-
En?

A) 20 degrees
B) 60 degrees
C) 70 degrees
D) None of the above

Question 16

The distance, in miles, from me to a moving train is given by Here represents hours since I heard the train whistle. Calculate the distance to the train 5 hours after I heard the whistle.

A) 5 miles
B) 208.63 miles
C) 43525 miles
D) 147.56 miles

Question 17

If you work 42 hours per week, then your weekly pay , in dollars, is proportional to your hourly wage , in dollars per hour. Express this proportionality relationship as a formula.

Question 18

The following table shows the U.S. population, in millions, in the given year. Use the average rate of change to estimate the U.S. population in 1996.

A) 268.34 million
B) 251.98 million
C) 265.07 million
D) None of the above

Question 19

Below is a graph of a function . Over what region(s) is the graph concave up?

A) at
B) from 0 to 3
C) from 3 to 6
D) None of the above

Question 20

The following table shows average rice yield, in tons per hectare, in Asia years since 1980. Use the average rate of change to estimate the yield in 1996.

A) 3.73 tons per hectare
B) 3.77 tons per hectare
C) 3.87 tons per hectare
D) None of the above

Question 21

The distance, in miles, from me to a moving train is given by Here represents hours since I heard the train whistle. Calculate the distance to the train 5 hours after I heard the whistle.

A) 5 miles
B) 208.63 miles
C) 43525 miles
D) 147.56 miles

Question 22

A) 41.26
B) 698.45
C) -968.44
D) 968.44

Question 23

Choose the answer that best completes the following sentence. A graph that is decreasing and concave down represents a function that is ...

A) increasing at a decreasing rate
B) increasing at an increasing rate
C) decreasing at an increasing rate
D) decreasing at a decreasing rate

Question 24

The following table shows average rice yield, in tons per hectare, in Asia years since 1980. Use the average rate of change to estimate the yield in 1994.

A) 3.61 tons per hectare
B) 3.71 tons per hectare
C) 3.75 tons per hectare
D) None of the above

Question 25

The following table shows the U.S. population, in millions, in the given year. Use the average rate of change to estimate the U.S. population in 1992.

A) 255.25 million
B) 251.98 million
C) 265.07 million
D) None of the above

Question 26

The temperature of an oven remains constant at 379 degrees Fahrenheit. A potato is placed in the oven to bake. The difference between the temperature of the oven and that of the potato after mi-
Nutes in the oven is given by degrees Fahrenheit. Write a formula that gives the tempera-
Ture , in degrees Fahrenheit, of the potato after minutes in the oven.

Question 27

The temperature in degrees Fahrenheit can be estimated from the number of cricket chirps per minute. If a cricket chirps 40 times per minute, the temperature is approximately 50 degrees Fahrenheit.
The average rate of change in temperature is 0.25 degree per chirp per minute. Use these facts to estimate
The temperature when a cricket chirps 56 times per minute.

A) 54 degrees
B) 62 degrees
C) 40.25 degrees
D) none of the above

Question 28

A) 0.7
B) 5.74
C) 2
D) 3.22

Question 29

Below is a graph of a function . What is the limiting value for ?

A) 60
B) 20
C) 50
D) None of the above

Question 30

The following table shows the number of bird species found on an island of area square miles that is part of a particular Pacific island chain. Calculate the average rate of change in the number of species as the area changes from 10 to 20 square miles.

A) 1.52 species per square mile
B) 31 species per square mile
C) 0.6 species per square mile
D) None of the above

Question 31

A balloon that originally holds 13.6 cubic inches of air springs a leak. Let represent the volume, in cubic inches, of air in the balloon minutes after the balloon starts to leak air. The average rate
Of change of is cubic inches per minute. Use these facts to estimate .

A) 13.6 cubic inches
B) 15.64 cubic inches
C) 12.25 cubic inches
D) none of the above

Question 32

The following table shows some function values.

Question 33

Sugar costs $1.62 per pound, and lemons cost $0.64 each. You sell lemonade for $1.75 per glass. Write for the pounds of sugar used, for the number of lemons used, for the number of glasses
Of lemonade you sell, and for the profit, in dollars, you make. Express using a formula your profit in
Terms of pounds of sugar used, number of lemons used, and number of glasses of lemonade sold.

Question 34

Below is a graph of a function . Find the average rate of change in from 2 to 4 .

A) 60
B) -5
C) -10
D) None of the above

Question 35

A) 4.44
B) 37.64
C) -4.86
D) 44.89

Question 36

A) 6.97
B) 417.69
C) 9.81
D) None of the above

Question 37

The following table shows your monthly payment P, in dollars, if you pay off a loan in months.

Question 38

Choose the answer that best completes the following sentence. A point of inflection occurs where...

A) concavity changes
B) concavity is at a maximum
C) the graph is increasing
D) the graph is bent

Question 39

The maximum length of a certain type of fish is 60 centimeters. The difference between the maximum length and the length at age years is given by centimeters. Write a formula
That gives the length , in centimeters, of the fish at age years.

Question 40

The following table shows average rice yield, in tons per hectare, in Asia years since 1980. Use the average rate of change to estimate the yield in 1996.

A) 3.73 tons per hectare
B) 3.77 tons per hectare
C) 3.87 tons per hectare
D) None of the above

Question 41

If , calculate the value of .

A) 0.56
B) 7.13
C) 2
D) 3.85

Question 42

Below is a graph of a function . What is the value of ?

A) 8
B) -8
C) 9
D) None of the above

Question 43

The following table shows the number of bird species found on an island of area square miles that is part of a particular Pacific island chain. Calculate the average rate of change in the number of species as the area changes from 20 to 30 square miles.

A) 0.76 species per square mile
B) 36 species per square mile
C) 0.5 species per square mile
D) None of the above

Question 44

The maximum length of a certain type of fish is 63 centimeters. The difference between the maximum length and the length at age years is given by centimeters. Write a for-
Mula that gives the length , in centimeters, of the fish at age years.

Question 45

A) 2.05
B) 20.31
C) -4.53
D) 26.06

Question 46

The temperature in degrees Fahrenheit can be estimated from the number of cricket chirps per minute. If a cricket chirps 40 times per minute, the temperature is approximately 50 degrees Fahrenheit.
The average rate of change in temperature is 0.25 degree per chirp per minute. Use these facts to estimate
The temperature when a cricket chirps 51 times per minute.

A) 52.75 degrees
B) 78 degrees
C) 40.25 degrees
D) none of the above

Question 47

Sugar costs $1.69 per pound, and lemons cost $0.98 each. You sell lemonade for $1.35 per glass. Write for the pounds of sugar used, for the number of lemons used, for the number of glasses
Of lemonade you sell, and for the profit, in dollars, you make. Express using a formula your profit in
Terms of pounds of sugar used, number of lemons used, and number of glasses of lemonade sold.

Question 48

The following table shows the U.S. population, in millions, in the given year. Use the average rate of change to estimate the U.S. population in 1994.

A) 261.79 million
B) 251.98 million
C) 265.07 million
D) None of the above

Question 49

A) 10938.02
B) 45909.64
C) 45712.3
D) -45712.3

Question 50

The distance, in miles, from me to a moving train is given by Here represents hours since I heard the train whistle. Calculate the distance to the train 7 hours after I heard the whistle.

A) 5 miles
B) 293.47 miles
C) 86125 miles
D) 208.55 miles

Question 51

A) 185.35
B) 1837.96
C) 188.99
D) 1060.32

Question 52

A) 3.47
B) 37.75
C) 5.71
D) None of the above

Question 53

The following table shows your monthly payment P, in dollars, if you pay off a loan in months.

Question 54

The temperature of an oven remains constant at 371 degrees Fahrenheit. A potato is placed in the oven to bake. The difference between the temperature of the oven and that of the potato after mi-
Nutes in the oven is given by degrees Fahrenheit. Write a formula that gives the tempera-
Ture , in degrees Fahrenheit, of the potato after minutes in the oven.

Question 55

The following table shows some function values.

Question 56

Below is a graph of a function . Over what region(s) is the graph concave up?

A) at
B) from 0 to 3
C) from 3 to 6
D) None of the above

Question 57

The following table shows average rice yield, in tons per hectare, in Asia years since 1980. Use the average rate of change to estimate the yield in 1989.

A) 3.32 tons per hectare
B) 3.55 tons per hectare
C) 3.46 tons per hectare
D) None of the above

Question 58

If you work 43 hours per week, then your weekly pay , in dollars, is proportional to your hourly wage , in dollars per hour. Express this proportionality relationship as a formula.

A)
B)
C)
D) None of the above.

Question 59

You put a drink in the freezer to cool. You take it out of the freezer when it is cold. But you forget about the drink and leave it sitting on the kitchen counter. The graph below shows the temperature, in
Degrees, of the drink minutes after the drink is placed in the freezer. What is the temperature in the kitch-
En?

A) 20 degrees
B) 60 degrees
C) 70 degrees
D) None of the above

Question 60

The following table shows average rice yield, in tons per hectare, in Asia years since 1980. Use the average rate of change to estimate the yield in 1997.

A) 3.73 tons per hectare
B) 3.82 tons per hectare
C) 3.87 tons per hectare
D) None of the above

Question 61

You put a drink in the freezer to cool. You take it out of the freezer when it is cold. But you forget about the drink and leave it sitting on the kitchen counter. The graph below shows the temperature, in
Degrees, of the drink minutes after the drink is placed in the freezer. What is the temperature in the kitch-
En?

A) 20 degrees
B) 60 degrees
C) 70 degrees
D) None of the above

Question 62

A) 7.73
B) 596.48
C) 11.48
D) None of the above

Question 63

The following table shows your monthly payment P, in dollars, if you pay off a loan in months.

Question 64

Below is a graph of a function . Over what region(s) is the graph concave up?

A) at
B) from 0 to 3
C) from 3 to 6
D) None of the above

Question 65

The temperature of an oven remains constant at 361 degrees Fahrenheit. A potato is placed in the oven to bake. The difference between the temperature of the oven and that of the potato after mi-
Nutes in the oven is given by degrees Fahrenheit. Write a formula that gives the tempera-
Ture , in degrees Fahrenheit, of the potato after minutes in the oven.

Question 66

The maximum length of a certain type of fish is 64 centimeters. The difference between the maximum length and the length at age years is given by centimeters. Write a formu-
La that gives the length , in centimeters, of the fish at age years.

Question 67

Below is a graph of a function . What is the value of ?

A) 0
B) -1
C) 9
D) None of the above

Question 68

The following table shows some function values.

Question 69

Below is a graph of a function . What is the limiting value for ?

A) 60
B) 20
C) 50
D) None of the above

Question 70

A balloon that originally holds 13.6 cubic inches of air springs a leak. Let represent the volume, in cubic inches, of air in the balloon minutes after the balloon starts to leak air. The average rate
Of change of is cubic inches per minute. Use these facts to estimate .

A) 13.6 cubic inches
B) 21.76 cubic inches
C) 12.25 cubic inches
D) none of the above

Question 71

A) 104.59
B) 491.66
C) 386.09
D) -386.09

Question 72

Below is a graph of a function . Find the average rate of change in from 10 to 12 .

A) 30
B) 2.5
C) 10
D) None of the above

Question 73

If you work 46 hours per week, then your weekly pay , in dollars, is proportional to your hourly wage , in dollars per hour. Express this proportionality relationship as a formula.

A)
B)
C)
D) None of the above.

Question 74

A) 0.6
B) 6.64
C) 2
D) 3.62

Question 75

Sugar costs $1.27 per pound, and lemons cost $0.47 each. You sell lemonade for $1.35 per glass. Write for the pounds of sugar used, for the number of lemons used, for the number of glasses
Of lemonade you sell, and for the profit, in dollars, you make. Express using a formula your profit in
Terms of pounds of sugar used, number of lemons used, and number of glasses of lemonade sold.

A)
B)
C)
D)

Question 76

A) 2.71
B) 14.79
C) -1.65
D) 18.09

Question 77

Choose the answer that best completes the following sentence. A point of inflection occurs where...

A) concavity changes
B) concavity is at a maximum
C) the graph is increasing
D) the graph is bent

Question 78

A) 7.71
B) 15.76
C) 9.05
D) 9.02

Question 79

The distance, in miles, from me to a moving train is given by Here represents hours since I heard the train whistle. Calculate the distance to the train 6 hours after I heard the whistle.

A) 5 miles
B) 251.05 miles
C) 63025 miles
D) 178.06 miles

Question 80

Choose the answer that best completes the following sentence. A graph that is decreasing and concave up represents a function that is ...

A) increasing at an increasing rate
B) increasing at a decreasing rate
C) decreasing at a decreasing rate
D) decreasing at an increasing rate