The following table shows the number of bird species found on an island of area $A$ square miles that is part of a particular Pacific island chain. \[\begin{array} { | l | l | l | l | l | l | } \hline A = \text { area } & 10 & 20 & 30 & 40 & 50 \\ \hline \begin{array} { l } W = \text { number } \\ \text { of species } \end{array} & 25 & 31 & 36 & 39 & 42 \\ \hline \end{array}\] 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 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

The following table shows the number of bird species found on an island of area $A$ square miles that is part of a particular Pacific island chain. \[\begin{array} { | l | l | l | l | l | l | } \hline A = \text { area } & 10 & 20 & 30 & 40 & 50 \\ \hline \begin{array} { l } W = \text { number } \\ \text { of species } \end{array} & 25 & 31 & 36 & 39 & 42 \\ \hline \end{array}\] 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 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

Exam 1: Functions

$\text { If } k ( x , y ) = \frac { \pi ^ { x + y } } { x + y } , \quad \text { calculate the value of } k ( 0.8,1.41 )$ - $\text { If } g ( h , k ) = \frac { h } { k } + \frac { k } { h } , \quad \text { calculate the value of } g ( 2.21,0.77 )$

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Question 41

A balloon that originally holds 13.6 cubic inches of air springs a leak. Let $V ( t )$ 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 $V$ is $- 1.02$ cubic inches per minute. Use these facts to estimate $V ( 8 )$ .

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Question 42

Below is a graph of a function $f ( x )$ . What is the limiting value for $f$ ?

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Question 43

$\text { If } g ( x , y ) = \frac { e ^ { x } + e ^ { - y } } { x y ^ { - 2 } } , \text { calculate the value of } g ( 4.65,4.22 )$

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Question 44

The following table shows some function values. Which formula below fits these data?

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Question 45

$\text { If } g ( h , k ) = \frac { h } { k } + \frac { k } { h } , \text { calculate the value of } g ( 5.03,2.05 )$

(Multiple Choice)

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Question 46

Below is a graph of a function $f ( x )$ . What is the limiting value for $f$ ?

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Question 47

The following table shows some function values. P Which formula below fits these data?

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Question 48

The maximum length of a certain type of fish is 65 centimeters. The difference between the maximum length and the length at age $The maximum length of a certain type of fish is 65 centimeters. The difference between the maximum length and the length at age years is given by D = 61.75 \times 0.82 ^ { t } centimeters. Write a for- Mula that gives the length L , in centimeters, of the fish at age years.$ years is given by $D = 61.75 \times 0.82 ^ { t }$ centimeters. Write a for- Mula that gives the length L , in centimeters, of the fish at age $The maximum length of a certain type of fish is 65 centimeters. The difference between the maximum length and the length at age years is given by D = 61.75 \times 0.82 ^ { t } centimeters. Write a for- Mula that gives the length L , in centimeters, of the fish at age years.$ years.

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Question 49

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 $The temperature of an oven remains constant at 371 degrees Fahrenheit. A potato is placed in the oven to bake. The difference between the temperature of the oven and that of the potato after mi- Nutes in the oven is given by D = 296 \times 0.92 ^ { t} degrees Fahrenheit. Write a formula that gives the tempera- Ture T , in degrees Fahrenheit, of the potato after minutes in the oven.$ mi- Nutes in the oven is given by $D = 296 \times 0.92 ^ { t}$ degrees Fahrenheit. Write a formula that gives the tempera- Ture $T$ , in degrees Fahrenheit, of the potato after $The temperature of an oven remains constant at 371 degrees Fahrenheit. A potato is placed in the oven to bake. The difference between the temperature of the oven and that of the potato after mi- Nutes in the oven is given by D = 296 \times 0.92 ^ { t} degrees Fahrenheit. Write a formula that gives the tempera- Ture T , in degrees Fahrenheit, of the potato after minutes in the oven.$ minutes in the oven.

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Question 50

The following table shows the number of bird species found on an island of area $A$ square miles that is part of a particular Pacific island chain. A= area 10 20 30 40 50 W= number of species 25 31 36 39 42 Calculate the average rate of change in the number of species as the area changes from 10 to 20 square miles.

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Question 51

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

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Question 52

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

(Multiple Choice)

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Question 53

The following table shows the number of bird species found on an island of area $A$ square miles that is part of a particular Pacific island chain. A= area 10 20 30 40 50 W= number of species 25 31 36 39 42 Calculate the average rate of change in the number of species as the area changes from 20 to 30 square miles.

(Multiple Choice)

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Question 54

The maximum length of a certain type of fish is 60 centimeters. The difference between the maximum length and the length at age $The maximum length of a certain type of fish is 60 centimeters. The difference between the maximum length and the length at age years is given by D = 57 \times 0.86 ^ { t } centimeters. Write a formula That gives the length L , in centimeters, of the fish at age years.$ years is given by $D = 57 \times 0.86 ^ { t }$ centimeters. Write a formula That gives the length L , in centimeters, of the fish at age $The maximum length of a certain type of fish is 60 centimeters. The difference between the maximum length and the length at age years is given by D = 57 \times 0.86 ^ { t } centimeters. Write a formula That gives the length L , in centimeters, of the fish at age years.$ years.

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Question 55

The distance, in miles, from me to a moving train is given by $D ( t ) = \sqrt { ( 30 t ) ^ { 2 } + ( 5 - 30 t ) ^ { 2 } } .$ Here $The distance, in miles, from me to a moving train is given by D ( t ) = \sqrt { ( 30 t ) ^ { 2 } + ( 5 - 30 t ) ^ { 2 } } . Here represents hours since I heard the train whistle. Calculate the distance to the train 6 hours after I heard the whistle.$ represents hours since I heard the train whistle. Calculate the distance to the train 6 hours after I heard the whistle.

(Multiple Choice)

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Question 56

$\text { If } k ( x , y ) = \frac { \pi ^ { x + y } } { x + y } , \text { calculate the value of } k ( 4.56,3.33 ) \text {. }$

(Multiple Choice)

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Question 57

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 $The temperature of an oven remains constant at 361 degrees Fahrenheit. A potato is placed in the oven to bake. The difference between the temperature of the oven and that of the potato after mi- Nutes in the oven is given by D = 286 \times 0.91 ^ { t } degrees Fahrenheit. Write a formula that gives the tempera- Ture T , in degrees Fahrenheit, of the potato after minutes in the oven.$ mi- Nutes in the oven is given by $D = 286 \times 0.91 ^ { t }$ degrees Fahrenheit. Write a formula that gives the tempera- Ture $T$ , in degrees Fahrenheit, of the potato after $The temperature of an oven remains constant at 361 degrees Fahrenheit. A potato is placed in the oven to bake. The difference between the temperature of the oven and that of the potato after mi- Nutes in the oven is given by D = 286 \times 0.91 ^ { t } degrees Fahrenheit. Write a formula that gives the tempera- Ture T , in degrees Fahrenheit, of the potato after minutes in the oven.$ minutes in the oven.

(Multiple Choice)

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Question 58

The following table shows average rice yield, in tons per hectare, in Asia $The following table shows average rice yield, in tons per hectare, in Asia years since 1980. \begin{array} { | l | l | l | l | l | l | } \hline \begin{array} { l } \text { t=years since } \\ 1980 \end{array} & 5 & 10 & 15 & 20 & 25 \\ \hline Y = \text { yield } & 3.32 & 3.61 & 3.73 & 3.95 & 4.11 \\ \hline \end{array} Use the average rate of change to estimate the yield in 1989.$ years since 1980. t=years since 1980 5 10 15 20 25 Y= yield 3.32 3.61 3.73 3.95 4.11 Use the average rate of change to estimate the yield in 1989.

(Multiple Choice)

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Question 59

$\text { If } k ( x , y ) = \frac { \pi ^ { x + y } } { x + y } , \text { calculate the value of } k ( 3.62,1.09 )$

(Multiple Choice)

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Question 60

Showing 41 - 60 of 99

$\text { If } k ( x , y ) = \frac { \pi ^ { x + y } } { x + y } , \quad \text { calculate the value of } k ( 0.8,1.41 )$ - $\text { If } g ( h , k ) = \frac { h } { k } + \frac { k } { h } , \quad \text { calculate the value of } g ( 2.21,0.77 )$

Below is a graph of a function $f ( x )$ . What is the limiting value for $f$ ?

$\text { If } g ( x , y ) = \frac { e ^ { x } + e ^ { - y } } { x y ^ { - 2 } } , \text { calculate the value of } g ( 4.65,4.22 )$

The following table shows some function values. Which formula below fits these data?

$\text { If } g ( h , k ) = \frac { h } { k } + \frac { k } { h } , \text { calculate the value of } g ( 5.03,2.05 )$

Below is a graph of a function $f ( x )$ . What is the limiting value for $f$ ?

The following table shows some function values. P Which formula below fits these data?

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

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

$\text { If } k ( x , y ) = \frac { \pi ^ { x + y } } { x + y } , \text { calculate the value of } k ( 4.56,3.33 ) \text {. }$

$\text { If } k ( x , y ) = \frac { \pi ^ { x + y } } { x + y } , \text { calculate the value of } k ( 3.62,1.09 )$

Graphical and Tabular Analysi

Straight Lines and Linear Functions

Exponential Functions

Filters

Exam 1: Functions

Below is a graph of a function f(x)f ( x )f(x) . What is the limiting value for fff ?

If g(x,y)=ex+e−yxy−2, calculate the value of g(4.65,4.22)\text { If } g ( x , y ) = \frac { e ^ { x } + e ^ { - y } } { x y ^ { - 2 } } , \text { calculate the value of } g ( 4.65,4.22 ) If g(x,y)=xy−2ex+e−y​, calculate the value of g(4.65,4.22)

The following table shows some function values. Which formula below fits these data?

If g(h,k)=hk+kh, calculate the value of g(5.03,2.05)\text { If } g ( h , k ) = \frac { h } { k } + \frac { k } { h } , \text { calculate the value of } g ( 5.03,2.05 ) If g(h,k)=kh​+hk​, calculate the value of g(5.03,2.05)

Below is a graph of a function f(x)f ( x )f(x) . What is the limiting value for fff ?

The following table shows some function values. P Which formula below fits these data?

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

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

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 D=57×0.86tD = 57 \times 0.86 ^ { t }D=57×0.86t centimeters. Write a formula That gives the length L , in centimeters, of the fish at age years.

The distance, in miles, from me to a moving train is given by D(t)=(30t)2+(5−30t)2.D ( t ) = \sqrt { ( 30 t ) ^ { 2 } + ( 5 - 30 t ) ^ { 2 } } .D(t)=(30t)2+(5−30t)2​. Here represents hours since I heard the train whistle. Calculate the distance to the train 6 hours after I heard the whistle.

If k(x,y)=πx+yx+y, calculate the value of k(4.56,3.33). \text { If } k ( x , y ) = \frac { \pi ^ { x + y } } { x + y } , \text { calculate the value of } k ( 4.56,3.33 ) \text {. } If k(x,y)=x+yπx+y​, calculate the value of k(4.56,3.33).

The following table shows average rice yield, in tons per hectare, in Asia years since 1980. t=years since 1980 5 10 15 20 25 Y= yield 3.32 3.61 3.73 3.95 4.11 Use the average rate of change to estimate the yield in 1989.

If k(x,y)=πx+yx+y, calculate the value of k(3.62,1.09)\text { If } k ( x , y ) = \frac { \pi ^ { x + y } } { x + y } , \text { calculate the value of } k ( 3.62,1.09 ) If k(x,y)=x+yπx+y​, calculate the value of k(3.62,1.09)

Graphical and Tabular Analysi

Straight Lines and Linear Functions

Exponential Functions

Filters

Below is a graph of a function $f ( x )$ . What is the limiting value for $f$ ?

$\text { If } g ( x , y ) = \frac { e ^ { x } + e ^ { - y } } { x y ^ { - 2 } } , \text { calculate the value of } g ( 4.65,4.22 )$

$\text { If } g ( h , k ) = \frac { h } { k } + \frac { k } { h } , \text { calculate the value of } g ( 5.03,2.05 )$

Below is a graph of a function $f ( x )$ . What is the limiting value for $f$ ?

$\text { If } k ( x , y ) = \frac { \pi ^ { x + y } } { x + y } , \text { calculate the value of } k ( 4.56,3.33 ) \text {. }$

$\text { If } k ( x , y ) = \frac { \pi ^ { x + y } } { x + y } , \text { calculate the value of } k ( 3.62,1.09 )$