Question 1

Find the solution for x of the equation   . ​

Accepted Answer

A)  ​   
B)  ​   
C)  ​   
D)  There is no solution. 
A)  ​   
B)  ​   
C)  ​   
D)  There is no solution. A

Question 2

If a function has a maximum value, a table of values can be used to find it.

Accepted Answer

A) True 
 B)False  True

Question 3

Find the solution for x of the equation   . ​

Accepted Answer

A)    
B)  ​   
C)  ​   
D)  There is no solution. 
A)    
B)  ​   
C)  ​   
D)  There is no solution. C

Question 4

A table of values always shows that a function has a limiting value.

Accepted Answer

A) True 
 B)False

Question 5

Find the solution for x of the equation   . ​

Accepted Answer

A)    
B)  ​   
C)  ​   
D)  There is no solution. 
A)    
B)  ​   
C)  ​   
D)  There is no solution.

Question 6

The number of animals present t years after their introduction to a game preserve is given by ​   .
​
Use a table of values to estimate the environmental carrying capacity of this reserve for this particular animal.
​

Accepted Answer

A)  24.45 
B)  269 
C)  0 
D)  10 
A)  24.45 
B)  269 
C)  0 
D)  10

Question 7

The number of geese nesting in a protected area   years after their introduction to the area is given by ​   .
​
When will the number of nesting geese reach 104?
​

Accepted Answer

A)  After 18 years 
B)  After 115 years 
C)  Never 
D)  After 3 years 
A)  After 18 years 
B)  After 115 years 
C)  Never 
D)  After 3 years

Question 8

What is the maximum value of ​   ?
​
Consider only positive x-values.

Accepted Answer

A)    
B)  ​   
C)  ​   
D)  There is no solution. 
A)    
B)  ​   
C)  ​   
D)  There is no solution.

Question 9

The length L, in centimeters, of a certain type of snake is a function of the age t in years.The relationship is ​   .
What is the longest snake of this variety that can be found?
​

Accepted Answer

A)  45 centimeters 
B)  41 centimeters 
C)  18.56 centimeters 
D)  53 centimeters 
A)  45 centimeters 
B)  41 centimeters 
C)  18.56 centimeters 
D)  53 centimeters

Question 10

What is the minimum value of   ? Consider only positive x-values.

Accepted Answer

A)    
B)    
C)    
D)  There is no solution. 
A)    
B)    
C)    
D)  There is no solution.

Question 11

The concentration, in milligrams per deciliter, of a drug in the bloodstream t hours after it is administered is ​   .
When is the maximum concentration achieved?
​

Accepted Answer

A)  After 6 hours 
B)  After 2.84 hours 
C)  After 5 hours 
D)  After 1.84 hours 
A)  After 6 hours 
B)  After 2.84 hours 
C)  After 5 hours 
D)  After 1.84 hours

Question 12

What is the maximum value of   ? Consider only positive x-values.

Accepted Answer

A)    
B)  ​   
C)  ​   
D)  There is no solution. 
A)    
B)  ​   
C)  ​   
D)  There is no solution.

Question 13

The length L, in centimeters, of a certain type of fish is a function of the age t in years.The relationship is ​   .
At what age will the fish be 52 centimeters long?
​

Accepted Answer

A)  38 years 
B)  52 years 
C)  54 years 
D)  51 years 
A)  38 years 
B)  52 years 
C)  54 years 
D)  51 years

Question 14

What is the maximum value of   ? Consider x-values between 3 and 12 only.

Accepted Answer

A)    
B)    
C)    
D)  There is no solution. 
A)    
B)    
C)    
D)  There is no solution.

Question 15

If a man jumps from an airplane with no parachute, his velocity after t seconds is given by   feet per second.Use a table of values to estimate the limiting value for his velocity. ​

Accepted Answer

A)  171 
B)  0.83 
C)  0 
D)  170.17 
A)  171 
B)  0.83 
C)  0 
D)  170.17

Question 16

What value of x gives the minimum value of   ? Consider only positive x-values.

Accepted Answer

A)    
B)    
C)    
D)  There is no solution. 
A)    
B)    
C)    
D)  There is no solution.

Question 17

On a certain island chain, the number of species present S is related to the area of the island.The relationship is given by   , where A is the area of the island measured in square miles.Which one of the following island areas will have 16 species present (rounded to the nearest whole number)?

Accepted Answer

A)  16 square miles 
B)  29,020 square miles 
C)  21 square miles 
D)  29,263 square miles 
A)  16 square miles 
B)  29,020 square miles 
C)  21 square miles 
D)  29,263 square miles

Question 18

The number of animals present   years after their introduction to a game preserve is given by ​   .
​
How long will it take for the population to reach 101 animals? Round your answer to the nearest whole number.
​

Accepted Answer

A)  6 years. 
B)  284 years. 
C)  9 years 
D)  It never happens. 
A)  6 years. 
B)  284 years. 
C)  9 years 
D)  It never happens.

Question 19

Find the minimum value of ​   .
​

Accepted Answer

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

Question 20

What is the maximum value of   ? Consider x-values between 3 and 12 only.

Accepted Answer

A)    
B)  ​   
C)  ​   
D)  There is no solution. 
A)    
B)  ​   
C)  ​   
D)  There is no solution.

Exam 5: Table and Trends

Find the solution for x of the equation . ​

If a function has a maximum value, a table of values can be used to find it.

Find the solution for x of the equation . ​

A table of values always shows that a function has a limiting value.

Find the solution for x of the equation . ​

The number of animals present t years after their introduction to a game preserve is given by ​ . ​ Use a table of values to estimate the environmental carrying capacity of this reserve for this particular animal. ​

The number of geese nesting in a protected area years after their introduction to the area is given by ​ . ​ When will the number of nesting geese reach 104? ​

What is the maximum value of ​ ? ​ Consider only positive x-values.

The length L, in centimeters, of a certain type of snake is a function of the age t in years.The relationship is ​ . What is the longest snake of this variety that can be found? ​

What is the minimum value of ? Consider only positive x-values.

The concentration, in milligrams per deciliter, of a drug in the bloodstream t hours after it is administered is ​ . When is the maximum concentration achieved? ​

What is the maximum value of ? Consider only positive x-values.

The length L, in centimeters, of a certain type of fish is a function of the age t in years.The relationship is ​ . At what age will the fish be 52 centimeters long? ​

What is the maximum value of ? Consider x-values between 3 and 12 only.

If a man jumps from an airplane with no parachute, his velocity after t seconds is given by feet per second.Use a table of values to estimate the limiting value for his velocity. ​

What value of x gives the minimum value of ? Consider only positive x-values.

On a certain island chain, the number of species present S is related to the area of the island.The relationship is given by , where A is the area of the island measured in square miles.Which one of the following island areas will have 16 species present (rounded to the nearest whole number)?

The number of animals present years after their introduction to a game preserve is given by ​ . ​ How long will it take for the population to reach 101 animals? Round your answer to the nearest whole number. ​

Find the minimum value of ​ . ​

What is the maximum value of ? Consider x-values between 3 and 12 only.

Functions Given by Formulas

Functions Given by TableChas

Functions Given by Graphs

Functions Given by Words

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

Power 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

Find the solution for x of the equation .

Find the solution for x of the equation .

Find the solution for x of the equation .

The number of animals present t years after their introduction to a game preserve is given by . Use a table of values to estimate the environmental carrying capacity of this reserve for this particular animal.

The number of geese nesting in a protected area years after their introduction to the area is given by . When will the number of nesting geese reach 104?

What is the maximum value of ? Consider only positive x-values.

The length L, in centimeters, of a certain type of snake is a function of the age t in years.The relationship is . What is the longest snake of this variety that can be found?

The concentration, in milligrams per deciliter, of a drug in the bloodstream t hours after it is administered is . When is the maximum concentration achieved?

The length L, in centimeters, of a certain type of fish is a function of the age t in years.The relationship is . At what age will the fish be 52 centimeters long?

If a man jumps from an airplane with no parachute, his velocity after t seconds is given by feet per second.Use a table of values to estimate the limiting value for his velocity.

The number of animals present years after their introduction to a game preserve is given by . How long will it take for the population to reach 101 animals? Round your answer to the nearest whole number.

Find the minimum value of .