Question 1

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
  units to the right,followed by a vertical shift 6 units downwards. 
B) The function   is a horizontal shift
  units to the left,followed by a vertical shift 6 units upwards. 
C) The function   is a horizontal shift
  units to the left,followed by a horizontal shift 6 units to the right. 
D) The function   is a vertical shift
  units downwards,followed by a horizontal shift 6 units to the right. 
E) The function   is a vertical shift
  units upwards,followed by a horizontal shift 6 units to the left. 
A) The function   is a horizontal shift
  units to the right,followed by a vertical shift 6 units downwards. 
B) The function   is a horizontal shift
  units to the left,followed by a vertical shift 6 units upwards. 
C) The function   is a horizontal shift
  units to the left,followed by a horizontal shift 6 units to the right. 
D) The function   is a vertical shift
  units downwards,followed by a horizontal shift 6 units to the right. 
E) The function   is a vertical shift
  units upwards,followed by a horizontal shift 6 units to the left. B

Question 2

Which of the following is the correct graph of   ? ​

Accepted Answer

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

Question 3

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

Accepted Answer

A) True 
 B)False  False

Question 4

You need 50 pounds of two commodities costing $1.55 and $2 per pound.Find the inverse function of the cost function   . ​

Accepted Answer

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

Question 5

Find the distance between the point   and line   using the formula,   for the distance between the point   and the line   . ​

Accepted Answer

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

Question 6

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

Accepted Answer

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

Question 7

Find an equation of the line that passes through the point   and has the slope m that is undefined. ​

Accepted Answer

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

Question 8

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 9

The resistance y in ohms of 1,000 feet of solid metal wire at 77°F can be approximated by the model   ,   ,where x is the diameter of the wire in mils (0.001 in).If the diameter of the wire is doubled,the resistance is changed by approximately what factor? In determining your answer,you can ignore the constant -0.39. ​

Accepted Answer

A) 6 
B)    
C) 4 
D)    
E)    
A) 6 
B)    
C) 4 
D)    
E)

Question 10

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

Accepted Answer

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

Question 11

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

Accepted Answer

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

Question 12

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)

Question 13

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 14

Find   if   . ​

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

Find   if   . ​

Accepted Answer

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

Question 17

Evaluate the expression   without using a calculator. ​

Accepted Answer

A) 0 
B)    
C)    
D)    
E)    
A) 0 
B)    
C)    
D)    
E)

Question 18

Find an equation of the line through the points of intersection of   and   . ​

Accepted Answer

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

Question 19

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 20

What is the domain of the function   ? ​

Accepted Answer

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

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

Which of the following is the correct graph of ?

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

You need 50 pounds of two commodities costing $1.55 and $2 per pound.Find the inverse function of the cost function .

Find the distance between the point and line using the formula, for the distance between the point and the line .

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

Find an equation of the line that passes through the point and has the slope m that is undefined.

Sketch the graph of the equation:

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

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

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.

Find the domain and range of the function .

Find if .

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

Find if .

Evaluate the expression without using a calculator.

Find an equation of the line through the points of intersection of and .

Find the domain and range of the function .

What is the domain of the function ?

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

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

Which of the following is the correct graph of ? ​

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

You need 50 pounds of two commodities costing $1.55 and $2 per pound.Find the inverse function of the cost function . ​

Find the distance between the point and line using the formula, for the distance between the point and the line . ​

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

Find an equation of the line that passes through the point and has the slope m that is undefined. ​

Sketch the graph of the equation: ​ ​

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

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

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. ​

Find the domain and range of the function . ​

Find if . ​

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

Find if . ​

Evaluate the expression without using a calculator. ​

Find an equation of the line through the points of intersection of and . ​

Find the domain and range of the function . ​

What is the domain of the function ? ​

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

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

Which of the following is the correct graph of ?

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

You need 50 pounds of two commodities costing $1.55 and $2 per pound.Find the inverse function of the cost function .

Find the distance between the point and line using the formula, for the distance between the point and the line .

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

Find an equation of the line that passes through the point and has the slope m that is undefined.

Sketch the graph of the equation:

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

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

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.

Find the domain and range of the function .

Find if .

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

Find if .

Evaluate the expression without using a calculator.

Find an equation of the line through the points of intersection of and .

Find the domain and range of the function .

What is the domain of the function ?