Question 1

Evaluate the expression   without using a calculator. ​

Accepted Answer

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

Question 2

Determine two coterminal angles in radian measure (one positive and one negative) for the angle. ​   ​
Where   .
​

Accepted Answer

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

Question 3

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

Accepted Answer

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

Question 4

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

Accepted Answer

A)  9 
B)  31 
C)  7 
D)  33 
E)  undefined 
A)  9 
B)  31 
C)  7 
D)  33 
E)  undefined

Question 5

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 6

Find the slope of the line passing through the points

Accepted Answer

A)  26 
B)  -5 
C)    
D)  5 
E)  -   
A)  26 
B)  -5 
C)    
D)  5 
E)  -

Question 7

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 8

Apply the inverse properties of   and   to simplify the given expression. ​   ​

Accepted Answer

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

Question 9

Test for symmetry with respect to each axis and to the origin. ​   ​

Accepted Answer

A)  symmetric with respect to the origin 
B)  symmetric with respect to the y-axis 
C)  symmetric with respect to the x-axis 
D)  both symmetric with respect to the y-axis and symmetric with respect to the x-axis 
E)  no symmetry 
A)  symmetric with respect to the origin 
B)  symmetric with respect to the y-axis 
C)  symmetric with respect to the x-axis 
D)  both symmetric with respect to the y-axis and symmetric with respect to the x-axis 
E)  no symmetry

Question 10

Solve the following equation for x. ​   ​

Accepted Answer

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

Question 11

Determine whether y is a function of x. ​

Accepted Answer

A) True 
 B)False

Question 12

Test for symmetry with respect to each axis and to the origin.   ​

Accepted Answer

A)  symmetric with respect to the origin 
B)  symmetric with respect to the x-axis 
C)  symmetric with respect to the y-axis 
D)  no symmetry 
E)  symmetric with respect to the origin; symmetric with respect to the x-axis; and symmetric with respect to the y-axis 
A)  symmetric with respect to the origin 
B)  symmetric with respect to the x-axis 
C)  symmetric with respect to the y-axis 
D)  no symmetry 
E)  symmetric with respect to the origin; symmetric with respect to the x-axis; and symmetric with respect to the y-axis

Question 13

Evaluate the expression   without using a calculator. ​

Accepted Answer

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

Question 14

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

Accepted Answer

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

Question 15

Solve the inequality for x. ​   ​

Accepted Answer

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

Question 16

Which of the following is the correct graph of   ? ​

Accepted Answer

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

Question 17

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 18

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 19

Suppose that the dollar value of a product in   and the rate at which the value of the product is expected to increase per year during the next   . Write a linear equation that gives the dollar value   of the product in terms of the year   . (Let   represent 2,000.) 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 20

Find   if   . ​

Accepted Answer

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

Evaluate the expression without using a calculator.

Determine two coterminal angles in radian measure (one positive and one negative) for the angle. Where .

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

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.

Find the slope of the line passing through the points

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.

Apply the inverse properties of and to simplify the given expression.

Test for symmetry with respect to each axis and to the origin.

Solve the following equation for x.

Determine whether y is a function of x.

Test for symmetry with respect to each axis and to the origin.

Evaluate the expression without using a calculator.

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

Solve the inequality for x.

Which of the following is the correct graph of ?

Determine the domain and range of the function .

Find the domain and range of the function .

Find if .

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Anal

Filters

Exam 1: Preparation for Calculus

Evaluate the expression without using a calculator. ​

Determine two coterminal angles in radian measure (one positive and one negative) for the angle. ​ ​ Where . ​

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

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. ​

Find the slope of the line passing through the points

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. ​

Apply the inverse properties of and to simplify the given expression. ​ ​

Test for symmetry with respect to each axis and to the origin. ​ ​

Solve the following equation for x. ​ ​

Determine whether y is a function of x. ​

Test for symmetry with respect to each axis and to the origin. ​

Evaluate the expression without using a calculator. ​

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

Solve the inequality for x. ​ ​

Which of the following is the correct graph of ? ​

Determine the domain and range of the function . ​

Find the domain and range of the function . ​

Find if . ​

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Anal

Filters

Evaluate the expression without using a calculator.

Determine two coterminal angles in radian measure (one positive and one negative) for the angle. Where .

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

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.

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.

Apply the inverse properties of and to simplify the given expression.

Test for symmetry with respect to each axis and to the origin.

Solve the following equation for x.

Determine whether y is a function of x.

Test for symmetry with respect to each axis and to the origin.

Evaluate the expression without using a calculator.

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

Solve the inequality for x.

Which of the following is the correct graph of ?

Determine the domain and range of the function .

Find the domain and range of the function .

Find if .