Question 1

Which of the following is the correct graph of   ? ​

Accepted Answer

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

Question 2

A company reimburses its sales representatives $145 per day for lodging and meals plus 42¢ per mile driven.Write a linear equation giving the daily cost C to the company in terms of x,the number of miles driven.Round the numerical values in your answer to two decimal places,where applicable. ​

Accepted Answer

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

Question 3

Sketch the graph of the equation: ​   ​

Accepted Answer

A) ​
  
B) ​
  
C) ​
  
D) ​
  
E) none of the above 
A) ​
  
B) ​
  
C) ​
  
D) ​
  
E) none of the above

Question 4

Find   if   . ​

Accepted Answer

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

Question 5

Solve the following equation for x. ​   ​​

Accepted Answer

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

Question 6

Write the following expression in algebraic form. ​   ​

Accepted Answer

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

Question 7

Which of the following is the correct graph of   ? ​

Accepted Answer

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

Question 8

Find the domain and range of the function   . ​

Accepted Answer

A) domain:  
Range:
  
B) domain:  
Range:
  
C) domain:  
Range:
  
D) domain:  
Range:
  
E) domain:  
Range:
  
A) domain:  
Range:
  
B) domain:  
Range:
  
C) domain:  
Range:
  
D) domain:  
Range:
  
E) domain:  
Range:

Question 9

Sketch a graph of the equation   . ​

Accepted Answer

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

Question 10

True or False: The function   is one-to-one on its entire domain.
​

Accepted Answer

A) True 
 B)False

Question 11

Use the Horizontal Line Test to determine whether the following statement is true or false.
​
The function   is one-to-one on its entire domain and therefore has an inverse function.
​

Accepted Answer

A) True 
 B)False

Question 12

Write the following expression as a logarithm of a single quantity. ​   ​

Accepted Answer

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

Question 13

Use the result,"the line with intercepts   and   has the equation   ,   ,   ",to write an equation of the line with x-intercept:   and y-intercept:   . ​

Accepted Answer

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

Question 14

An open box of maximum volume is to be made from a square piece of material 4 centimeters on a side by cutting equal squares from the corners and turning up the sides(see figure).What is the domain of the function   . ​     ​

Accepted Answer

A) domain:   
B) domain: 4 
C) domain:   
D) domain:   
E) domain: 2 
A) domain:   
B) domain: 4 
C) domain:   
D) domain:   
E) domain: 2

Question 15

Match the graph of the function given below with the graph of its inverse function. ​   ​

Accepted Answer

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

Question 16

A real estate office handles an apartment complex with 50 units.When the rent is $700 per month,all 50 units are occupied.However,when the rent is $745,the average number of occupied units drops to 47.Assume that the relationship between the monthly rent p and the demand x is linear.Predict the number of units occupied if the rent is raised to $790. ​

Accepted Answer

A) 41 units 
B) 56 units 
C) 59 units 
D) 47 units 
E) 44 units 
A) 41 units 
B) 56 units 
C) 59 units 
D) 47 units 
E) 44 units

Question 17

Solve the following equation for x. ​   ​

Accepted Answer

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

Question 18

Find   if   . ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    does not exist 
A)    
B)    
C)    
D)    
E)    does not exist

Question 19

Determine whether the function is even,odd,or neither. ​   ​

Accepted Answer

A) even 
B) odd 
C) neither 
A) even 
B) odd 
C) neither

Question 20

The horsepower H required to overcome wind drag on a certain automobile is approximated by   ,   ,where x is the speed of the car in miles per hour.Find   .Round the numerical values in your answer to five decimal places. ​

Accepted Answer

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

Which of the following is the correct graph of ?

A company reimburses its sales representatives $145 per day for lodging and meals plus 42¢ per mile driven.Write a linear equation giving the daily cost C to the company in terms of x,the number of miles driven.Round the numerical values in your answer to two decimal places,where applicable.

Sketch the graph of the equation:

Find if .

Solve the following equation for x.

Write the following expression in algebraic form.

Which of the following is the correct graph of ?

Find the domain and range of the function .

Sketch a graph of the equation .

True or False: The function is one-to-one on its entire domain.

Use the Horizontal Line Test to determine whether the following statement is true or false. The function is one-to-one on its entire domain and therefore has an inverse function.

Write the following expression as a logarithm of a single quantity.

Use the result,"the line with intercepts and has the equation , , ",to write an equation of the line with x-intercept: and y-intercept: .

An open box of maximum volume is to be made from a square piece of material 4 centimeters on a side by cutting equal squares from the corners and turning up the sides(see figure).What is the domain of the function .

Match the graph of the function given below with the graph of its inverse function.

Solve the following equation for x.

Find if .

Determine whether the function is even,odd,or neither.

The horsepower H required to overcome wind drag on a certain automobile is approximated by , ,where x is the speed of the car in miles per hour.Find .Round the numerical values in your answer to five decimal places.

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques, L'Hôpital's Rule, and Improper Integrals

Infinite Series

Parametric Equations, Polar Coordinates, and Vectors

Mechanical Ventilation and Sedation: Assessment, Medications, and Complications

Filters

Exam 1: Preparation for Calculus

Which of the following is the correct graph of ? ​

A company reimburses its sales representatives $145 per day for lodging and meals plus 42¢ per mile driven.Write a linear equation giving the daily cost C to the company in terms of x,the number of miles driven.Round the numerical values in your answer to two decimal places,where applicable. ​

Sketch the graph of the equation: ​ ​

Find if . ​

Solve the following equation for x. ​ ​​

Write the following expression in algebraic form. ​ ​

Which of the following is the correct graph of ? ​

Find the domain and range of the function . ​

Sketch a graph of the equation . ​

True or False: The function is one-to-one on its entire domain. ​

Use the Horizontal Line Test to determine whether the following statement is true or false. ​ The function is one-to-one on its entire domain and therefore has an inverse function. ​

Write the following expression as a logarithm of a single quantity. ​ ​

Use the result,"the line with intercepts and has the equation , , ",to write an equation of the line with x-intercept: and y-intercept: . ​

An open box of maximum volume is to be made from a square piece of material 4 centimeters on a side by cutting equal squares from the corners and turning up the sides(see figure).What is the domain of the function . ​ ​

Match the graph of the function given below with the graph of its inverse function. ​ ​

Solve the following equation for x. ​ ​

Find if . ​

Determine whether the function is even,odd,or neither. ​ ​

The horsepower H required to overcome wind drag on a certain automobile is approximated by , ,where x is the speed of the car in miles per hour.Find .Round the numerical values in your answer to five decimal places. ​

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques, L'Hôpital's Rule, and Improper Integrals

Infinite Series

Parametric Equations, Polar Coordinates, and Vectors

Mechanical Ventilation and Sedation: Assessment, Medications, and Complications

Filters

Which of the following is the correct graph of ?

A company reimburses its sales representatives $145 per day for lodging and meals plus 42¢ per mile driven.Write a linear equation giving the daily cost C to the company in terms of x,the number of miles driven.Round the numerical values in your answer to two decimal places,where applicable.

Sketch the graph of the equation:

Find if .

Solve the following equation for x.

Write the following expression in algebraic form.

Which of the following is the correct graph of ?

Find the domain and range of the function .

Sketch a graph of the equation .

True or False: The function is one-to-one on its entire domain.

Use the Horizontal Line Test to determine whether the following statement is true or false. The function is one-to-one on its entire domain and therefore has an inverse function.

Write the following expression as a logarithm of a single quantity.

Use the result,"the line with intercepts and has the equation , , ",to write an equation of the line with x-intercept: and y-intercept: .

An open box of maximum volume is to be made from a square piece of material 4 centimeters on a side by cutting equal squares from the corners and turning up the sides(see figure).What is the domain of the function .

Match the graph of the function given below with the graph of its inverse function.

Solve the following equation for x.

Find if .

Determine whether the function is even,odd,or neither.

The horsepower H required to overcome wind drag on a certain automobile is approximated by , ,where x is the speed of the car in miles per hour.Find .Round the numerical values in your answer to five decimal places.