Question 1

Let   .If x is multiplied by 3.97, how is y affected? Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  y is multiplied by 47.49 
B)  y is multiplied by 59.6 
C)  47.49 is added to y 
D)  59.6 is added to ​y 
A)  y is multiplied by 47.49 
B)  y is multiplied by 59.6 
C)  47.49 is added to y 
D)  59.6 is added to ​y

Question 2

Let   .If x is divided by 3.02, how is y affected? Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  0.07 is added to y 
B)  y is multiplied by 1.35 
C)  y is multiplied by 0.07 
D)  1.35 is added to ​y 
A)  0.07 is added to y 
B)  y is multiplied by 1.35 
C)  y is multiplied by 0.07 
D)  1.35 is added to ​y

Question 3

The weight of a certain type of fish is a power function of its length.The value of the power in this function is   .If the weight is multiplied by 2.94, how is the length affected? Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  Length is multiplied by 8.64. 
B)  Length is multiplied by 1.86. 
C)  Length is multiplied by 1.71. 
D)  Length is multiplied by 9.13. 
A)  Length is multiplied by 8.64. 
B)  Length is multiplied by 1.86. 
C)  Length is multiplied by 1.71. 
D)  Length is multiplied by 9.13.

Question 4

The life expectancy of a star is a power function of its mass.The value of the power in this function is   .If the life expectancy is multiplied by 2.35, how is the mass affected? Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  Mass is multiplied by 0.71. 
B)  Mass is multiplied by 0.12. 
C)  Mass is multiplied by 0.51. 
D)  Mass is multiplied by 1.12. 
A)  Mass is multiplied by 0.71. 
B)  Mass is multiplied by 0.12. 
C)  Mass is multiplied by 0.51. 
D)  Mass is multiplied by 1.12.

Question 5

The life expectancy of a star is a power function of its mass.It is observed that if the mass is doubled, the life expectancy is multiplied by 0.18.What is the value of the power k for this power function? Round your answer to two decimal places if necessary. ​

Accepted Answer

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

Question 6

Let   .If y is decreased by 17%, how is x affected? Express your answer in terms of a percent.Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  x is decreased by 5.8% 
B)  x is increased by 5.8% 
C)  x is decreased by 5.16% 
D)  x is increased by 5.16% 
A)  x is decreased by 5.8% 
B)  x is increased by 5.8% 
C)  x is decreased by 5.16% 
D)  x is increased by 5.16%

Question 7

The body surface area B of an 80-kilogram man depends on his height h measured in meters.The value of the power in this function is   .If the body surface area is multiplied by 1.03, how is the height affected? Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  Height is multiplied by 1.01. 
B)  Height is multiplied by 1.5. 
C)  Height is multiplied by 1.23. 
D)  Height is multiplied by 1.06. 
A)  Height is multiplied by 1.01. 
B)  Height is multiplied by 1.5. 
C)  Height is multiplied by 1.23. 
D)  Height is multiplied by 1.06.

Question 8

The life expectancy of a star is a power function of its mass.The value of the power in this function is   .If the mass is decreased by 14%, how is the life expectancy affected? Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  Life expectancy is increased by 72.07% 
B)  Life expectancy is decreased by 72.07% 
C)  Life expectancy is decreased by 45.8%. 
D)  Life expectancy is increased by 45.8%. 
A)  Life expectancy is increased by 72.07% 
B)  Life expectancy is decreased by 72.07% 
C)  Life expectancy is decreased by 45.8%. 
D)  Life expectancy is increased by 45.8%.

Question 9

Show the graph of   when k is a positive number larger than 1. ​

Accepted Answer

A)  ​   
B)  ​   
C)  ​   
D)  ​   
A)  ​   
B)  ​   
C)  ​   
D)  ​

Question 10

Let   .If x is multiplied by 5, how is ​y affected? ​

Accepted Answer

A)  y is multiplied by 125 
B)  ​y is multiplied by 243 
C)  125 is added to y 
D)  243 is added to y 
A)  y is multiplied by 125 
B)  ​y is multiplied by 243 
C)  125 is added to y 
D)  243 is added to y

Question 11

Let   .If y is multiplied by 4, how is x affected? Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  1.59 is added to x 
B)  x is multiplied by 64 
C)  64 is added to x 
D)  x is multiplied by 1.59 
A)  1.59 is added to x 
B)  x is multiplied by 64 
C)  64 is added to x 
D)  x is multiplied by 1.59

Question 12

If k is negative, then the power function   is a decreasing function for positive values of ​x.

Accepted Answer

A) True 
 B)False

Question 13

The weight of a certain type of fish is a power function of its length.The value of the power in this function is   .If the length is multiplied by 1.28, how the is weight affected? Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  Weight is multiplied by 1.12. 
B)  Weight is multiplied by 1.31. 
C)  Weight is multiplied by 2.22. 
D)  Weight is multiplied by 1.73. 
A)  Weight is multiplied by 1.12. 
B)  Weight is multiplied by 1.31. 
C)  Weight is multiplied by 2.22. 
D)  Weight is multiplied by 1.73.

Question 14

The homogeneity property applies to both power functions and exponential functions.

Accepted Answer

A) True 
 B)False

Question 15

Let   .If x is decreased by 1.05%, how is y affected? Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  y is decreased by 1.78% 
B)  y is increased by 9.22 % 
C)  y is increased by 1.78% 
D)  ​y is decreased by 9.22% 
A)  y is decreased by 1.78% 
B)  y is increased by 9.22 % 
C)  y is increased by 1.78% 
D)  ​y is decreased by 9.22%

Question 16

Let   .If x is increased by 4%, how is y affected? Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  y is increased by 2.04% 
B)  y is increased by 1.22% 
C)  y is increased by 22.24% 
D)  ​y is increased by 21.67% 
A)  y is increased by 2.04% 
B)  y is increased by 1.22% 
C)  y is increased by 22.24% 
D)  ​y is increased by 21.67%

Question 17

Let   .If x is increased by 33%, how is y affected? Express your answer in terms of a percent.Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  y is decreased by 35.89% 
B)  y is increased by 35.89% 
C)  y is decreased by 37.24% 
D)  ​y is increased by 37.24% 
A)  y is decreased by 35.89% 
B)  y is increased by 35.89% 
C)  y is decreased by 37.24% 
D)  ​y is increased by 37.24%

Question 18

The speed for certain animals is related to the stride length by a power function.The value of the power in this function is   .If the stride length is multiplied by 1.09, how is the speed affected? Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  Speed is multiplied by 1.05. 
B)  Speed is multiplied by 1.09. 
C)  Speed is multiplied by 1.49. 
D)  Speed is multiplied by 1.63. 
A)  Speed is multiplied by 1.05. 
B)  Speed is multiplied by 1.09. 
C)  Speed is multiplied by 1.49. 
D)  Speed is multiplied by 1.63.

Question 19

The speed for certain animals is related to the stride length by a power function.It is observed that if the stride length is doubled, the speed increases by a factor of 2.33.What is the value of the power k for this power function? Round your answer to two decimal places if necessary. ​

Accepted Answer

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

Question 20

The length of skid marks when a car skids to a stop is a power function of the speed the car is traveling when the brakes are applied.It is observed that if the speed is doubled, the skid mark length increases by a factor of 4.What is the value of the power ​k for this power function? Round your answer to two decimal places if necessary. ​

Accepted Answer

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

Exam 22: Power Functions

Let .If x is multiplied by 3.97, how is y affected? Round your answer to two decimal places if necessary. ​

Let .If x is divided by 3.02, how is y affected? Round your answer to two decimal places if necessary. ​

The weight of a certain type of fish is a power function of its length.The value of the power in this function is .If the weight is multiplied by 2.94, how is the length affected? Round your answer to two decimal places if necessary. ​

The life expectancy of a star is a power function of its mass.The value of the power in this function is .If the life expectancy is multiplied by 2.35, how is the mass affected? Round your answer to two decimal places if necessary. ​

The life expectancy of a star is a power function of its mass.It is observed that if the mass is doubled, the life expectancy is multiplied by 0.18.What is the value of the power k for this power function? Round your answer to two decimal places if necessary. ​

Let .If y is decreased by 17%, how is x affected? Express your answer in terms of a percent.Round your answer to two decimal places if necessary. ​

The body surface area B of an 80-kilogram man depends on his height h measured in meters.The value of the power in this function is .If the body surface area is multiplied by 1.03, how is the height affected? Round your answer to two decimal places if necessary. ​

The life expectancy of a star is a power function of its mass.The value of the power in this function is .If the mass is decreased by 14%, how is the life expectancy affected? Round your answer to two decimal places if necessary. ​

Show the graph of when k is a positive number larger than 1. ​

Let .If x is multiplied by 5, how is ​y affected? ​

Let .If y is multiplied by 4, how is x affected? Round your answer to two decimal places if necessary. ​

If k is negative, then the power function is a decreasing function for positive values of ​x.

The weight of a certain type of fish is a power function of its length.The value of the power in this function is .If the length is multiplied by 1.28, how the is weight affected? Round your answer to two decimal places if necessary. ​

The homogeneity property applies to both power functions and exponential functions.

Let .If x is decreased by 1.05%, how is y affected? Round your answer to two decimal places if necessary. ​

Let .If x is increased by 4%, how is y affected? Round your answer to two decimal places if necessary. ​

Let .If x is increased by 33%, how is y affected? Express your answer in terms of a percent.Round your answer to two decimal places if necessary. ​

The speed for certain animals is related to the stride length by a power function.The value of the power in this function is .If the stride length is multiplied by 1.09, how is the speed affected? Round your answer to two decimal places if necessary. ​

The speed for certain animals is related to the stride length by a power function.It is observed that if the stride length is doubled, the speed increases by a factor of 2.33.What is the value of the power k for this power function? Round your answer to two decimal places if necessary. ​

Functions Given by Formulas

Functions Given by TableChas

Functions Given by Graphs

Functions Given by Words

Table and Trends

Graphs

Solving Linear Equations

Solving Nonlinear Equations

Inequalities

Optimization

The Geometry of Lines

Linear Functions

Modeling Data with Linear Functions

Linear Regression

Systems of Equations

Exponential Growth and Decay

Constant Percentage Change

Modeling Exponential Data

Modeling Nearly Exponential Data

Logarithmic Functions

Logistic Functions

Modeling Data with Power Functions

Combining and Decomposing Functions

Quadratic Functions

Higher Degree Polynomials and Rational Functions

Velocity

Rates of Change for Other Functions

Estimating Rates of Change

Equations of Change Linear and Exponential Functions

Equations of Change Graphical Solutions

Filters

Let .If x is multiplied by 3.97, how is y affected? Round your answer to two decimal places if necessary.

Let .If x is divided by 3.02, how is y affected? Round your answer to two decimal places if necessary.

The weight of a certain type of fish is a power function of its length.The value of the power in this function is .If the weight is multiplied by 2.94, how is the length affected? Round your answer to two decimal places if necessary.

The life expectancy of a star is a power function of its mass.The value of the power in this function is .If the life expectancy is multiplied by 2.35, how is the mass affected? Round your answer to two decimal places if necessary.

The life expectancy of a star is a power function of its mass.It is observed that if the mass is doubled, the life expectancy is multiplied by 0.18.What is the value of the power k for this power function? Round your answer to two decimal places if necessary.

Let .If y is decreased by 17%, how is x affected? Express your answer in terms of a percent.Round your answer to two decimal places if necessary.

The body surface area B of an 80-kilogram man depends on his height h measured in meters.The value of the power in this function is .If the body surface area is multiplied by 1.03, how is the height affected? Round your answer to two decimal places if necessary.

The life expectancy of a star is a power function of its mass.The value of the power in this function is .If the mass is decreased by 14%, how is the life expectancy affected? Round your answer to two decimal places if necessary.

Show the graph of when k is a positive number larger than 1.

Let .If x is multiplied by 5, how is y affected?

Let .If y is multiplied by 4, how is x affected? Round your answer to two decimal places if necessary.

If k is negative, then the power function is a decreasing function for positive values of x.

The weight of a certain type of fish is a power function of its length.The value of the power in this function is .If the length is multiplied by 1.28, how the is weight affected? Round your answer to two decimal places if necessary.

Let .If x is decreased by 1.05%, how is y affected? Round your answer to two decimal places if necessary.

Let .If x is increased by 4%, how is y affected? Round your answer to two decimal places if necessary.

Let .If x is increased by 33%, how is y affected? Express your answer in terms of a percent.Round your answer to two decimal places if necessary.

The speed for certain animals is related to the stride length by a power function.The value of the power in this function is .If the stride length is multiplied by 1.09, how is the speed affected? Round your answer to two decimal places if necessary.

The speed for certain animals is related to the stride length by a power function.It is observed that if the stride length is doubled, the speed increases by a factor of 2.33.What is the value of the power k for this power function? Round your answer to two decimal places if necessary.