Question 1

Write the equation and graph the line that passes through the given point and has the slope indicated. ​
​   with slope   ​

Accepted Answer

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

Question 2

The height above ground, S (in feet), of a ball thrown vertically into the air is given by   , where t is the time in seconds since the ball was thrown. Graph this equation with a graphing utility and the range   . Estimate the time at which the ball is at its highest point. Round your answer to two decimal places. ​

Accepted Answer

A)  10.18 
B)  0.20 
C)  0.05 
D)  20.36 
E)  5.09 
A)  10.18 
B)  0.20 
C)  0.05 
D)  20.36 
E)  5.09

Question 3

A function and its graph are given. Find the domain. ​   ​   ​

Accepted Answer

A)  domain: all real numbers   
B)  domain: all real numbers   
C)  domain: all real numbers   
D)  domain: all real numbers   
E)  domain: all real numbers   
A)  domain: all real numbers   
B)  domain: all real numbers   
C)  domain: all real numbers   
D)  domain: all real numbers   
E)  domain: all real numbers

Question 4

Is the relation defined by the table a function of x?

Accepted Answer

A) True 
 B)False

Question 5

Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to   . Graph this equation with a graphing utility and the range   Because E represents consumer expenditure, only values of   have meaning. Determine the values of p for which   . ​ ​

Accepted Answer

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

Question 6

​Graph the equation with a standard window   and   on a graphing utility. Does the graph appear to be a linear function? ​
​   ​

Accepted Answer

A) True 
 B)False

Question 7

For   and   , find   . ​

Accepted Answer

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

Question 8

If   and   , find   and simplify. ​

Accepted Answer

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

Question 9

Solve the system by elimination, or by any convenient method. ​   ​

Accepted Answer

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

Question 10

Write the equation for line that passes through the given point and has the slope indicated. ​
​   with slope   ​

Accepted Answer

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

Question 11

The graphs of the two equations below are shown. The lines representing these equations may be the same, may intersect once, or may be parallel. Decide whether the system of equations in the problem has one solution, no solution, or an infinite number of solutions. ​   and   ​

Accepted Answer

A)  infinite solutions 
B)  no solution 
C)  one solution 
A)  infinite solutions 
B)  no solution 
C)  one solution

Question 12

Find the slope of the line passing through the given pair of points. ​   and   ​

Accepted Answer

A)  10 
B)  3 
C)  -2 
D)  -7 
E)  The slope is undefined. 
A)  10 
B)  3 
C)  -2 
D)  -7 
E)  The slope is undefined.

Question 13

Graph the function using a window that gives a complete graph. Does the figure below show the complete graph?
​
​   ​   ​

Accepted Answer

A) True 
 B)False

Question 14

Use a graphing utility with the standard viewing window   and   to graph the function. Choose the correct graph below. ​   ​

Accepted Answer

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

Question 15

Retailers will buy 45 cordless phones from a wholesaler if the price is $10 each but only 20 if the price is $60. The wholesaler will supply 35 phones at $30 each and 42 at $42 each. Assuming the supply and demand functions are linear, find the market equilibrium point   . ​

Accepted Answer

A)  market equilibrium point:   
B)  market equilibrium point:   
C)  market equilibrium point:   
D)  market equilibrium point:   
E)  market equilibrium point:   
A)  market equilibrium point:   
B)  market equilibrium point:   
C)  market equilibrium point:   
D)  market equilibrium point:   
E)  market equilibrium point:

Question 16

Suppose a stereo receiver manufacturer has the total cost function   and the total revenue function   , where x represents the number of units produced and sold. What is the equation of the profit function,   , for this commodity? ​

Accepted Answer

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

Question 17

Complete the problem by using your calculator.​ ​
If   , find   and   ​

Accepted Answer

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

Question 18

With U.S. Census Bureau data, the model that relates the per capita annual income (in thousands of dollars) of blacks B and whites W was found to be   . Use a graphing utility to graph this equation for the range W-min = 0, W-max = 30; B-min = 0, B-max = 30. Is the image below the correct graph of the function? ​
​   ​

Accepted Answer

A) True 
 B)False

Question 19

For a certain product, the revenue function is   and the cost function is   . To obtain a profit, the revenue must be greater than the cost. Find the graph of x which shows when there is a profit. ​

Accepted Answer

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

Question 20

In Sweetwater, Arizona, water bills are taxed on the basis of the amount of the monthly bill in order to encourage conservation. If the bill is more than $0 but less than $40, the tax is 3% of the bill; if the bill is $40 or more but less than $60, the tax is 5% of the bill; and if the bill is $60 or more, the tax is 7% of the bill. Choose the inequalities that represent the amounts of tax owed in these three cases, where T is the tax to be paid and B is the monthly bill. ​

Accepted Answer

A)  ​If   , then  
If   , then  
If   , then   
B)  ​If   , then   ​
If   , then  
If   , then  
​ 
C)  ​If   , then  
If   , then  
If   , then   ​
​ 
D)  ​If   , then  
If   , then  
If   , then   ​
​ 
E)  ​If   , then  
If   , then  
If   , then  
​ 
A)  ​If   , then  
If   , then  
If   , then   
B)  ​If   , then   ​
If   , then  
If   , then  
​ 
C)  ​If   , then  
If   , then  
If   , then   ​
​ 
D)  ​If   , then  
If   , then  
If   , then   ​
​ 
E)  ​If   , then  
If   , then  
If   , then  
​

Write the equation and graph the line that passes through the given point and has the slope indicated. with slope

A function and its graph are given. Find the domain.

Is the relation defined by the table a function of x?

Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to . Graph this equation with a graphing utility and the range Because E represents consumer expenditure, only values of have meaning. Determine the values of p for which .

Graph the equation with a standard window and on a graphing utility. Does the graph appear to be a linear function?

For and , find .

If and , find and simplify.

Solve the system by elimination, or by any convenient method.

Write the equation for line that passes through the given point and has the slope indicated. with slope

The graphs of the two equations below are shown. The lines representing these equations may be the same, may intersect once, or may be parallel. Decide whether the system of equations in the problem has one solution, no solution, or an infinite number of solutions. and

Find the slope of the line passing through the given pair of points. and

Graph the function using a window that gives a complete graph. Does the figure below show the complete graph?

Use a graphing utility with the standard viewing window and to graph the function. Choose the correct graph below.

Retailers will buy 45 cordless phones from a wholesaler if the price is $10 each but only 20 if the price is $60. The wholesaler will supply 35 phones at $30 each and 42 at $42 each. Assuming the supply and demand functions are linear, find the market equilibrium point .

Suppose a stereo receiver manufacturer has the total cost function and the total revenue function , where x represents the number of units produced and sold. What is the equation of the profit function, , for this commodity?

Complete the problem by using your calculator. If , find and

For a certain product, the revenue function is and the cost function is . To obtain a profit, the revenue must be greater than the cost. Find the graph of x which shows when there is a profit.

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability and Data Description

Derivatives

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 4

Algebraic Concepts 5

Filters

Exam 1: Linear Equations and Functions

Write the equation and graph the line that passes through the given point and has the slope indicated. ​ ​ with slope ​

A function and its graph are given. Find the domain. ​ ​ ​

Is the relation defined by the table a function of x?

Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to . Graph this equation with a graphing utility and the range Because E represents consumer expenditure, only values of have meaning. Determine the values of p for which . ​ ​

​Graph the equation with a standard window and on a graphing utility. Does the graph appear to be a linear function? ​ ​ ​

For and , find . ​

If and , find and simplify. ​

Solve the system by elimination, or by any convenient method. ​ ​

Write the equation for line that passes through the given point and has the slope indicated. ​ ​ with slope ​

The graphs of the two equations below are shown. The lines representing these equations may be the same, may intersect once, or may be parallel. Decide whether the system of equations in the problem has one solution, no solution, or an infinite number of solutions. ​ and ​

Find the slope of the line passing through the given pair of points. ​ and ​

Graph the function using a window that gives a complete graph. Does the figure below show the complete graph? ​ ​ ​ ​

Use a graphing utility with the standard viewing window and to graph the function. Choose the correct graph below. ​ ​

Retailers will buy 45 cordless phones from a wholesaler if the price is $10 each but only 20 if the price is $60. The wholesaler will supply 35 phones at $30 each and 42 at $42 each. Assuming the supply and demand functions are linear, find the market equilibrium point . ​

Suppose a stereo receiver manufacturer has the total cost function and the total revenue function , where x represents the number of units produced and sold. What is the equation of the profit function, , for this commodity? ​

Complete the problem by using your calculator.​ ​ If , find and ​

For a certain product, the revenue function is and the cost function is . To obtain a profit, the revenue must be greater than the cost. Find the graph of x which shows when there is a profit. ​

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability and Data Description

Derivatives

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 4

Algebraic Concepts 5

Filters

Write the equation and graph the line that passes through the given point and has the slope indicated. with slope

A function and its graph are given. Find the domain.

Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to . Graph this equation with a graphing utility and the range Because E represents consumer expenditure, only values of have meaning. Determine the values of p for which .

Graph the equation with a standard window and on a graphing utility. Does the graph appear to be a linear function?

For and , find .

If and , find and simplify.

Solve the system by elimination, or by any convenient method.

Write the equation for line that passes through the given point and has the slope indicated. with slope

The graphs of the two equations below are shown. The lines representing these equations may be the same, may intersect once, or may be parallel. Decide whether the system of equations in the problem has one solution, no solution, or an infinite number of solutions. and

Find the slope of the line passing through the given pair of points. and

Graph the function using a window that gives a complete graph. Does the figure below show the complete graph?

Use a graphing utility with the standard viewing window and to graph the function. Choose the correct graph below.

Retailers will buy 45 cordless phones from a wholesaler if the price is $10 each but only 20 if the price is $60. The wholesaler will supply 35 phones at $30 each and 42 at $42 each. Assuming the supply and demand functions are linear, find the market equilibrium point .

Suppose a stereo receiver manufacturer has the total cost function and the total revenue function , where x represents the number of units produced and sold. What is the equation of the profit function, , for this commodity?

Complete the problem by using your calculator. If , find and

For a certain product, the revenue function is and the cost function is . To obtain a profit, the revenue must be greater than the cost. Find the graph of x which shows when there is a profit.