Question 1

Use the table below to find .

Accepted Answer

A)  -16 
B)  24 
C)  10 
D)  -6 
E)  -2 
A)  -16 
B)  24 
C)  10 
D)  -6 
E)  -2

Question 2

Find the y -intercept of   .

Accepted Answer

A)  (0,   ) 
B)    
C)  (0,   ) 
D)  (0,   ) 
E)  (0,   ) 
A)  (0,   ) 
B)    
C)  (0,   ) 
D)  (0,   ) 
E)  (0,   )

Question 3

Find the equation of the horizontal asymptote for   .

Accepted Answer

A)      
B)      
C)    
D)      
E)      
A)      
B)      
C)    
D)      
E)

Question 4

The power   of a jet of water from a fire hose that is 3 inches in diameter is directly proportional to the cube of the water velocity   . If the velocity is divided by 4, by what factor will the power decrease?

Accepted Answer

A)    
B)    
C)  64 
D)    
E)  4 
A)    
B)    
C)  64 
D)    
E)  4

Question 5

The data in the table shows the temperature for a cup of coffee after it is poured into the cup. The initial temperature of the coffee is F. Which one of the following functions is the best model for this data?

Accepted Answer

A)    
B)    
C)  None of these options 
D)    
E)    
A)    
B)    
C)  None of these options 
D)    
E)

Question 6

If   and   , find the domain of   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 7

The graph of   is similar to the graph of   .

Accepted Answer

A) True 
 B)False

Question 8

Suppose that   is inversely proportional to the square of   . If   when   , find the proportionality constant. Round to the nearest hundredth.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

The stopping distance   of a car after the brakes have been applied is directly proportional to the square of the speed   . The stopping distance of a car on dry asphalt is given by the function   , where   is measured in mi/h. Which one of the following is the inverse function of   ?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

Suppose that   is directly proportional to the 6th root of   . Which one of the following equations expresses this proportionality?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 11

Find an appropriate model for the data provided in the table. Round to the nearest thousandth.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Use the table below to find .

Find the y -intercept of .

Find the equation of the horizontal asymptote for .

The power of a jet of water from a fire hose that is 3 inches in diameter is directly proportional to the cube of the water velocity . If the velocity is divided by 4, by what factor will the power decrease?

The data in the table shows the temperature for a cup of coffee after it is poured into the cup. The initial temperature of the coffee is F. Which one of the following functions is the best model for this data?

If and , find the domain of .

The graph of is similar to the graph of .

Suppose that is inversely proportional to the square of . If when , find the proportionality constant. Round to the nearest hundredth.

The stopping distance of a car after the brakes have been applied is directly proportional to the square of the speed . The stopping distance of a car on dry asphalt is given by the function , where is measured in mi/h. Which one of the following is the inverse function of ?

Suppose that is directly proportional to the 6th root of . Which one of the following equations expresses this proportionality?

Find an appropriate model for the data provided in the table. Round to the nearest thousandth.

Data, Functions, and Models

Linear Functions and Models

Exponential Functions and Models

Logarithmic Functions and Exponential Modela

Quadratic Functions and Models

Systems of Equations and Data in Categories

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Exam 6: Power, Polynomial, and Rational Functions

Use the table below to find .

Find the y -intercept of .

Find the equation of the horizontal asymptote for .

The power of a jet of water from a fire hose that is 3 inches in diameter is directly proportional to the cube of the water velocity . If the velocity is divided by 4, by what factor will the power decrease?

The data in the table shows the temperature for a cup of coffee after it is poured into the cup. The initial temperature of the coffee is F. Which one of the following functions is the best model for this data?

If and , find the domain of .

The graph of is similar to the graph of .

Suppose that is inversely proportional to the square of . If when , find the proportionality constant. Round to the nearest hundredth.

The stopping distance of a car after the brakes have been applied is directly proportional to the square of the speed . The stopping distance of a car on dry asphalt is given by the function , where is measured in mi/h. Which one of the following is the inverse function of ?

Suppose that is directly proportional to the 6th root of . Which one of the following equations expresses this proportionality?

Find an appropriate model for the data provided in the table. Round to the nearest thousandth.

Data, Functions, and Models

Linear Functions and Models

Exponential Functions and Models

Logarithmic Functions and Exponential Modela

Quadratic Functions and Models

Systems of Equations and Data in Categories

Filters