Question 1

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 odd.

Accepted Answer

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

Question 2

Use the graph of   given below to find the graph of the function   .

Accepted Answer

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

Question 3

Let   . Evaluate the expression   and then simplify the result.

Accepted Answer

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

Question 4

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 5

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 6

Evaluate the function   at   .

Accepted Answer

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

Question 7

Use the graph of   given below to find the graph of the function   .

Accepted Answer

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

Question 8

Determine whether y is a function of x.

Accepted Answer

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

Question 9

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

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

Let   . Then simplify the expression   .

Accepted Answer

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

Question 12

An open box of maximum volume is to be made from a square piece of material   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:   
C)  domain:   
D)  domain:   
E)  domain:   
A)  domain:   
B)  domain:   
C)  domain:   
D)  domain:   
E)  domain:

Question 13

An open box of maximum volume is to be made from a square piece of material   centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure). Write the volume V as a function of x, the length of the corner squares.

Accepted Answer

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

Question 14

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

Accepted Answer

A)  -7 
B)  17 
C)  3 
D)  7 
E)  undefined 
A)  -7 
B)  17 
C)  3 
D)  7 
E)  undefined

Question 15

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)

Question 16

Find the domain and range of the function   .

Accepted Answer

A)  domain:  
Range:   
B)  domain:  
Range:   
C)  domain:  
Range:   
D)  domain:  
Range:   
E)  none of the above 
A)  domain:  
Range:   
B)  domain:  
Range:   
C)  domain:  
Range:   
D)  domain:  
Range:   
E)  none of the above

Question 17

Determine whether y is a function of x.

Accepted Answer

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

Question 18

Given   and   , evaluate   .

Accepted Answer

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

Question 19

Specify a sequence of transformations for the function   that will yield the graph of h from the graph of the function   .

Accepted Answer

A)  The function   is a horizontal shift     to the right, followed by a vertical shift     downwards. 
B)  The function   is a horizontal shift     to the left, followed by a vertical shift     upwards. 
C)  The function   is a horizontal shift     to the left, followed by a horizontal shift     to the right. 
D)  The function   is a vertical shift     downwards, followed by a horizontal shift     to the right. 
E)  The function   is a vertical shift     upwards, followed by a horizontal shift     to the left. 
A)  The function   is a horizontal shift     to the right, followed by a vertical shift     downwards. 
B)  The function   is a horizontal shift     to the left, followed by a vertical shift     upwards. 
C)  The function   is a horizontal shift     to the left, followed by a horizontal shift     to the right. 
D)  The function   is a vertical shift     downwards, followed by a horizontal shift     to the right. 
E)  The function   is a vertical shift     upwards, followed by a horizontal shift     to the left.

Question 20

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

Accepted Answer

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

Exam 1: Section 3: Preparation for Calculus

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 odd.

Use the graph of given below to find the graph of the function .

Let . Evaluate the expression and then simplify the result.

Determine the domain and range of the function .

Find the domain and range of the function .

Evaluate the function at .

Use the graph of given below to find the graph of the function .

Determine whether y is a function of x.

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

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

Let . Then simplify the expression .

An open box of maximum volume is to be made from a square piece of material 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 .

An open box of maximum volume is to be made from a square piece of material centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure). Write the volume V as a function of x, the length of the corner squares.

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

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.

Find the domain and range of the function .

Determine whether y is a function of x.

Given and , evaluate .

Specify a sequence of transformations for the function that will yield the graph of h from the graph of the function .

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

Section 1: Preparation for Calculus

Section 2: Preparation for Calculus

Section 4: Preparation for Calculus

Section 5: Preparation for Calculus

Section 6: Preparation for Calculus

Section 1: Limits and Their Properties

Section 2: Limits and Their Properties

Section 3: Limits and Their Properties

Section 4: Limits and Their Properties

Section 5 : Limits and Their Properties

Section 1 : Differentiation

Section 2: Differentiation

Section 3: Differentiation

Section 4 : Differentiation

Section 5: Differentiation

Section 6: Differentiation

Section 7: Differentiation

Section 8: Differentiation

Section 1 : Applications of Differentiation

Section 2: Applications of Differentiation

Section 3: Applications of Differentiation

Section 4: Applications of Differentiation

Section 5: Applications of Differentiation

Section 6: Applications of Differentiation

Section 7: Applications of Differentiation

Section 8: Applications of Differentiation

Section 1: Integration

Section 2: Integration

Section 3: Integration

Section 4: Integration

Section 5: Integration

Section 6: Integration

Section 7: Integration

Section 8: Integration

Section 9: Integration

Section 1: Differential Equations

Section 2: Differential Equations

Section 3: Differential Equations

Section 4: Differential Equations

Section 5: Differential Equations

Section 1: Applications of Integration

Section 2: Applications of Integration

Section 3: Applications of Integration

Section 4: Applications of Integration

Section 5: Applications of Integration

Section 6: Applications of Integration

Section 7: Applications of Integration

Section 1: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 2: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 3: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 4: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 5: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 6: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 7: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 8: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 1: Infinite Series

Section 2: Infinite Series

Section 3: Infinite Series

Section 4: Infinite Series