Question 1

Use a graphing calculator to graph the profit function   . ​

Accepted Answer

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

Question 2

The time t, in seconds, that it takes a 2005 Corvette to accelerate to x mph can be described by   . How fast is the Corvette going after 9.08 seconds? Give your answer to the nearest tenth. ​

Accepted Answer

A) 97.1 mph 
B) 98.1 mph 
C) ​100.1 mph 
D) ​118.9 mph 
E) ​119.4 mph 
A) 97.1 mph 
B) 98.1 mph 
C) ​100.1 mph 
D) ​118.9 mph 
E) ​119.4 mph

Question 3

Find the rational function whose graph is given. ​   ​

Accepted Answer

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

Question 4

Write the equation   in general form. ​

Accepted Answer

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

Question 5

Find the average rate of change of the function between the given values of x. ​   between   and   .

Accepted Answer

A) 7 
B) 6 
C) 0 
D) -6 
E) 12 
A) 7 
B) 6 
C) 0 
D) -6 
E) 12

Question 6

If   , find   and   . Round your answers to two decimal places. ​

Accepted Answer

A)   
And  
​ 
B)   
And   
C)   
And   
D)   
And   
E)   
And   
A)   
And  
​ 
B)   
And   
C)   
And   
D)   
And   
E)   
And

Question 7

Solve the equation   by first multiplying by the LCD, and then solving the resulting equation. ​

Accepted Answer

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

Question 8

By recognizing shapes and features of rational functions, sketch the graph of the function   . Use a graphing utility to confirm your graph. ​

Accepted Answer

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

Question 9

Find the vertex of the graph of the equation   . Round your answer to two decimal places.

Accepted Answer

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

Question 10

Solve   for the function   . ​

Accepted Answer

A)    
B)    
C)    
D)    
E) no real solutions 
A)    
B)    
C)    
D)    
E) no real solutions

Question 11

In 1995, America's 45 million Social Security recipients received a 2.6% cost-of-living increase, the second smallest increase in nearly 20 years, a reflection of lower inflation. The percent increase might be described by the function   , where t is the number of years past 1980. In what year does the model predict the highest cost of living percent increase? ​

Accepted Answer

A) 1990 
B) 2009 
C) 1987 
D) 1989 
E) none of the above 
A) 1990 
B) 2009 
C) 1987 
D) 1989 
E) none of the above

Question 12

Solve the equation by using a graphing utility. ​   ​

Accepted Answer

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

Question 13

The supply function for a product is   , while the demand function for the same product is   . If a $22 tax is placed on production of the item, then the supplier passes this tax on by adding $22 to his selling price. Find the new equilibrium point E(q, p) for this product when the tax is passed on. (The new supply function is given by   .) Round your final answer to two decimal places. ​

Accepted Answer

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

Question 14

The yield in bushels from a grove of orange trees is given by   , where x is the number of orange trees per acre. How many trees will maximize the yield? ​

Accepted Answer

A) 1,000 trees 
B) 2,000 trees 
C) 550 trees 
D) 1,050 trees 
E) 500 trees 
A) 1,000 trees 
B) 2,000 trees 
C) 550 trees 
D) 1,050 trees 
E) 500 trees

Question 15

The daily profit from the sale of a product is given by   dollars. What is the maximum possible profit? Round intermediate calculations and final answer to the nearest dollar.

Accepted Answer

A) $532 
B) $860 
C) $220 
D) $40 
E) $73 
A) $532 
B) $860 
C) $220 
D) $40 
E) $73

Question 16

By recognizing shapes and features of polynomial functions, sketch the graph of the function   . Use a graphing utility to confirm your graph. ​

Accepted Answer

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

Question 17

Sketch the graph of the function   . ​

Accepted Answer

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

Question 18

A supply function has the equation is   , and the demand function is decribed by the equation   . Algebraically determine the equilibrium point for the supply and demand functions. Round your answer to two decimal places. ​

Accepted Answer

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

Question 19

If the supply function for a commodity is   and the demand function is   , find the equilibrium quantity and equilibrium price. Round your final answer to two decimal places.

Accepted Answer

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

Question 20

Suppose that the following table shows the number of millions of people in the United States who lived below the poverty level for selected years. Find a cubic model that approximately fits the data, using x as the number of years after 1960. Round numerical values in your answer to four decimal places. Depending on the technology you use, your answer may be slightly different than the correct answer shown.

Accepted Answer

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

Use a graphing calculator to graph the profit function .

The time t, in seconds, that it takes a 2005 Corvette to accelerate to x mph can be described by . How fast is the Corvette going after 9.08 seconds? Give your answer to the nearest tenth.

Find the rational function whose graph is given.

Write the equation in general form.

Find the average rate of change of the function between the given values of x. between and .

If , find and . Round your answers to two decimal places.

Solve the equation by first multiplying by the LCD, and then solving the resulting equation.

By recognizing shapes and features of rational functions, sketch the graph of the function . Use a graphing utility to confirm your graph.

Find the vertex of the graph of the equation . Round your answer to two decimal places.

Solve for the function .

Solve the equation by using a graphing utility.

The yield in bushels from a grove of orange trees is given by , where x is the number of orange trees per acre. How many trees will maximize the yield?

The daily profit from the sale of a product is given by dollars. What is the maximum possible profit? Round intermediate calculations and final answer to the nearest dollar.

By recognizing shapes and features of polynomial functions, sketch the graph of the function . Use a graphing utility to confirm your graph.

Sketch the graph of the function .

A supply function has the equation is , and the demand function is decribed by the equation . Algebraically determine the equilibrium point for the supply and demand functions. Round your answer to two decimal places.

If the supply function for a commodity is and the demand function is , find the equilibrium quantity and equilibrium price. Round your final answer to two decimal places.

Algebraic Concepts

Linear Equations and Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability; Data Description

Derivatives

Applications of Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals: Techniques of Integration

Functions of Two or More Variables

Filters

Exam 3: Quadratic and Other Special Functions

Use a graphing calculator to graph the profit function . ​

The time t, in seconds, that it takes a 2005 Corvette to accelerate to x mph can be described by . How fast is the Corvette going after 9.08 seconds? Give your answer to the nearest tenth. ​

Find the rational function whose graph is given. ​ ​

Write the equation in general form. ​

Find the average rate of change of the function between the given values of x. ​ between and .

If , find and . Round your answers to two decimal places. ​

Solve the equation by first multiplying by the LCD, and then solving the resulting equation. ​

By recognizing shapes and features of rational functions, sketch the graph of the function . Use a graphing utility to confirm your graph. ​

Find the vertex of the graph of the equation . Round your answer to two decimal places.

Solve for the function . ​

Solve the equation by using a graphing utility. ​ ​

The yield in bushels from a grove of orange trees is given by , where x is the number of orange trees per acre. How many trees will maximize the yield? ​

The daily profit from the sale of a product is given by dollars. What is the maximum possible profit? Round intermediate calculations and final answer to the nearest dollar.

By recognizing shapes and features of polynomial functions, sketch the graph of the function . Use a graphing utility to confirm your graph. ​

Sketch the graph of the function . ​

A supply function has the equation is , and the demand function is decribed by the equation . Algebraically determine the equilibrium point for the supply and demand functions. Round your answer to two decimal places. ​

If the supply function for a commodity is and the demand function is , find the equilibrium quantity and equilibrium price. Round your final answer to two decimal places.

Algebraic Concepts

Linear Equations and Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability; Data Description

Derivatives

Applications of Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals: Techniques of Integration

Functions of Two or More Variables

Filters

Use a graphing calculator to graph the profit function .

The time t, in seconds, that it takes a 2005 Corvette to accelerate to x mph can be described by . How fast is the Corvette going after 9.08 seconds? Give your answer to the nearest tenth.

Find the rational function whose graph is given.

Write the equation in general form.

Find the average rate of change of the function between the given values of x. between and .

If , find and . Round your answers to two decimal places.

Solve the equation by first multiplying by the LCD, and then solving the resulting equation.

By recognizing shapes and features of rational functions, sketch the graph of the function . Use a graphing utility to confirm your graph.

Solve for the function .

Solve the equation by using a graphing utility.

The yield in bushels from a grove of orange trees is given by , where x is the number of orange trees per acre. How many trees will maximize the yield?

By recognizing shapes and features of polynomial functions, sketch the graph of the function . Use a graphing utility to confirm your graph.

Sketch the graph of the function .

A supply function has the equation is , and the demand function is decribed by the equation . Algebraically determine the equilibrium point for the supply and demand functions. Round your answer to two decimal places.