Question 1

Find all intercepts: ​   ​

Accepted Answer

A) x-intercepts:   ,
  ,
  ;y-intercepts:
  ,
  
B) x-intercepts:   ,
  ;y-intercept:
  
C) x-intercepts:   ,
  ;y-intercept:
  
D) x-intercepts:   ,
  ,
  ;y-intercept:
  
E) x-intercepts:   ,
  ,
  ;y-intercept:
  
A) x-intercepts:   ,
  ,
  ;y-intercepts:
  ,
  
B) x-intercepts:   ,
  ;y-intercept:
  
C) x-intercepts:   ,
  ;y-intercept:
  
D) x-intercepts:   ,
  ,
  ;y-intercept:
  
E) x-intercepts:   ,
  ,
  ;y-intercept:

Question 2

Evaluate the expression   without using a calculator. ​

Accepted Answer

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

Question 3

Suppose that the dollar value of a product in 2008 is $150 and the rate at which the value of the product is expected to increase per year during the next 5 years is $4.5.Write a linear equation that gives the dollar value V of the product in terms of the year t.(Let   represent 2000. )Round the numerical values in your answer to one decimal place,where applicable. ​

Accepted Answer

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

Question 4

A real estate office handles an apartment complex with 50 units.When the rent is $680 per month,all 50 units are occupied.However,when the rent is $725,the average number of occupied units drops to 47.Assume that the relationship between the monthly rent p and the demand x is linear.Write a linear equation giving the demand x in terms of the rent p. ​

Accepted Answer

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

Question 5

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 6

Determine whether y is a function of x. ​   ​

Accepted Answer

A) no 
B) yes 
A) no 
B) yes

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

Evaluate (if possible)the function   at   .Simplify the result. ​

Accepted Answer

A) 9 
B) -7 
C) -11 
D) 13 
E) undefined 
A) 9 
B) -7 
C) -11 
D) 13 
E) undefined

Question 9

Find the points of intersection of the graphs of the equations:

Accepted Answer

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

Question 10

Determine 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 11

Write an equation of the line that passes through the point   and is perpendicular to the line   . ​

Accepted Answer

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

Question 12

Find all intercepts:

Accepted Answer

A) x-intercepts:   ,
  ;y-intercepts:
  ,
  
B) x-intercept:   ;y-intercepts:
  ,
  
C) x-intercepts:   ,
  ;y-intercept:
  
D) x-intercepts:   ,
  ;y-intercepts:
  ,
  
E) x-intercept:   ;y-intercept:
  
A) x-intercepts:   ,
  ;y-intercepts:
  ,
  
B) x-intercept:   ;y-intercepts:
  ,
  
C) x-intercepts:   ,
  ;y-intercept:
  
D) x-intercepts:   ,
  ;y-intercepts:
  ,
  
E) x-intercept:   ;y-intercept:

Question 13

Given   and   ,evaluate   . ​

Accepted Answer

A) 0 
B)    
C)    
D) -1 
E)    
A) 0 
B)    
C)    
D) -1 
E)

Question 14

Find the coordinates of a second point on the graph of a function f if the given point   is on the graph and the function is even. ​

Accepted Answer

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

Question 15

Write the following expression in algebraic form. ​   ​

Accepted Answer

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

Question 16

Write the following expression in algebraic form. ​   ​

Accepted Answer

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

Question 17

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

Accepted Answer

A) 15 
B) -5 
C)    
D) 5 
E) -   
A) 15 
B) -5 
C)    
D) 5 
E) -

Question 18

Evaluate the expression   without using a calculator. ​

Accepted Answer

A)    
B)    
C) 3 
D) 5 
E) 4 
A)    
B)    
C) 3 
D) 5 
E) 4

Question 19

What is the domain of the function   ? ​

Accepted Answer

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

Question 20

Find the slope of the line   . ​

Accepted Answer

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

Find all intercepts:

Evaluate the expression without using a calculator.

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

Determine whether y is a function of x.

Which of the following is the correct graph of ?

Evaluate (if possible)the function at .Simplify the result.

Find the points of intersection of the graphs of the equations:

Determine the domain and range of the function .

Write an equation of the line that passes through the point and is perpendicular to the line .

Find all intercepts:

Given and ,evaluate .

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even.

Write the following expression in algebraic form.

Write the following expression in algebraic form.

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

Evaluate the expression without using a calculator.

What is the domain of the function ?

Find the slope of the line .

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

Find all intercepts: ​ ​

Evaluate the expression without using a calculator. ​

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

Determine whether y is a function of x. ​ ​

Which of the following is the correct graph of ? ​

Evaluate (if possible)the function at .Simplify the result. ​

Find the points of intersection of the graphs of the equations:

Determine the domain and range of the function . ​

Write an equation of the line that passes through the point and is perpendicular to the line . ​

Find all intercepts:

Given and ,evaluate . ​

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even. ​

Write the following expression in algebraic form. ​ ​

Write the following expression in algebraic form. ​ ​

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

Evaluate the expression without using a calculator. ​

What is the domain of the function ? ​

Find the slope of the line . ​

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

Find all intercepts:

Evaluate the expression without using a calculator.

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

Determine whether y is a function of x.

Which of the following is the correct graph of ?

Evaluate (if possible)the function at .Simplify the result.

Determine the domain and range of the function .

Write an equation of the line that passes through the point and is perpendicular to the line .

Given and ,evaluate .

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even.

Write the following expression in algebraic form.

Write the following expression in algebraic form.

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

Evaluate the expression without using a calculator.

What is the domain of the function ?

Find the slope of the line .