Question 1

Graph the following function and describe all extrema.

Accepted Answer

A)    No minimum nor maximum occurs. 
B)    A minimum occurs at   .
A maximum occurs at   . 
C)    A minimum occurs at   .
A maximum occurs at   . 
D)    A minimum occurs at   .
A maximum occurs at   . 
A)    No minimum nor maximum occurs. 
B)    A minimum occurs at   .
A maximum occurs at   . 
C)    A minimum occurs at   .
A maximum occurs at   . 
D)    A minimum occurs at   .
A maximum occurs at   .

Question 2

Use the graph of   shown below to graph   .

Accepted Answer

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

Question 3

Use the vertical line test to determine whether or not the graph is a function.

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 4

Graph the following function and describe all extrema. Round answers to the nearest thousandth.

Accepted Answer

A)    No minimum nor maximum occurs. 
B)    A minimum occurs at   .
No maximum occurs. 
C)    A minimum occurs at   .
A maximum occurs at   . 
D)    No minimum nor maximum occurs. 
A)    No minimum nor maximum occurs. 
B)    A minimum occurs at   .
No maximum occurs. 
C)    A minimum occurs at   .
A maximum occurs at   . 
D)    No minimum nor maximum occurs.

Question 5

Find all solutions to the equation   on the interval   .

Accepted Answer

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

Question 6

Solve the inequality. -11 < -9 - x < -6

Accepted Answer

A) x > -3 or x -2 or x < 3 C) -3 < x < 2 D) -2 < x < 3 A) x > -3 or x -2 or x < 3 C) -3 < x < 2 D) -2 < x < 3

Question 7

Determine if   is periodic, and if so, find the smallest (fundamental) period.

Accepted Answer

A)  period =   
B)  period =   
C)  period =   
D)  The function is not periodic. 
A)  period =   
B)  period =   
C)  period =   
D)  The function is not periodic.

Question 8

Solve the inequality. |3x - 6| < 18

Accepted Answer

A)  -8  8 
C)  -4 < x < 8 
D)  all reals 
A)  -8  8 
C)  -4 < x < 8 
D)  all reals

Question 9

Find all intercepts of the graph of   .

Accepted Answer

A)  x-int(s):   ; y-int:   
B)  x-int(s):   ; y-int:   
C)  x-int(s):   ; y-int:   
D)  x-int(s):   ; y-int:   
A)  x-int(s):   ; y-int:   
B)  x-int(s):   ; y-int:   
C)  x-int(s):   ; y-int:   
D)  x-int(s):   ; y-int:

Question 10

Find the points of intersection of the two curves. Round answers to the nearest hundredth.

Accepted Answer

A)    
B)    
C)    
D)  The curves do not intersect. 
A)    
B)    
C)    
D)  The curves do not intersect.

Question 11

Use the vertical line test to determine whether or not the graph is a function.

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 12

Determine   when   .

Accepted Answer

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

Question 13

Identify functions   and   such that the given function equals   .

Accepted Answer

Answers ar

Question 14

Find the slope m of the line through the given points. A (-4, 5) and B (-8, -4)

Accepted Answer

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

Question 15

Solve the inequality. 4x2 + 2 > 0

Accepted Answer

A)  ($\phi$) 
B)    
C)    
D)  all reals 
A)  ($\phi$) 
B)    
C)    
D)  all reals

Question 16

Find the domain of the function.

Accepted Answer

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

Question 17

Find all solutions of   .

Accepted Answer

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

Question 18

Graph the following function and describe all extrema. Round answers to the nearest hundredth.

Accepted Answer

A)    A minimum occurs at   .
A maximum occurs at   . 
B)    A minimum occurs at   .
A maximum occurs at   . 
C)    A minimum occurs at   .
A maximum occurs at   . 
D)    . A minimum occurs at   .
A maximum occurs at   . 
A)    A minimum occurs at   .
A maximum occurs at   . 
B)    A minimum occurs at   .
A maximum occurs at   . 
C)    A minimum occurs at   .
A maximum occurs at   . 
D)    . A minimum occurs at   .
A maximum occurs at   .

Question 19

Find the domain of the function.

Accepted Answer

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

Question 20

Identify the amplitude, period and frequency of   .

Accepted Answer

A)  amplitude =   period =  
Frequency =   
B)  amplitude =   period =  
Frequency =   
C)  amplitude =   period =  
Frequency =   
D)  amplitude =   period =  
Frequency =   
A)  amplitude =   period =  
Frequency =   
B)  amplitude =   period =  
Frequency =   
C)  amplitude =   period =  
Frequency =   
D)  amplitude =   period =  
Frequency =

Graph the following function and describe all extrema.

Use the graph of shown below to graph .

Use the vertical line test to determine whether or not the graph is a function.

Graph the following function and describe all extrema. Round answers to the nearest thousandth.

Find all solutions to the equation on the interval .

Solve the inequality. -11 < -9 - x < -6

Determine if is periodic, and if so, find the smallest (fundamental) period.

Solve the inequality. |3x - 6| < 18

Find all intercepts of the graph of .

Find the points of intersection of the two curves. Round answers to the nearest hundredth.

Use the vertical line test to determine whether or not the graph is a function.

Determine when .

Identify functions and such that the given function equals .

Find the slope m of the line through the given points. A (-4, 5) and B (-8, -4)

Solve the inequality. 4x² + 2 > 0

Find the domain of the function.

Find all solutions of .

Graph the following function and describe all extrema. Round answers to the nearest hundredth.

Find the domain of the function.

Identify the amplitude, period and frequency of .

Limits and Continuity

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

Exponentials, Logarithms and Other Transcendental Functions

Integration Techniques

First-Order Differential Equations

Infinite Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables and Partial Differentiation

Multiple Integrals

Vector Calculus

Second Order Differential Equations

Filters

Exam 1: Preliminaries

Graph the following function and describe all extrema.

Use the graph of shown below to graph .

Use the vertical line test to determine whether or not the graph is a function.

Graph the following function and describe all extrema. Round answers to the nearest thousandth.

Find all solutions to the equation on the interval .

Solve the inequality. -11 < -9 - x < -6

Determine if is periodic, and if so, find the smallest (fundamental) period.

Solve the inequality. |3x - 6| < 18

Find all intercepts of the graph of .

Find the points of intersection of the two curves. Round answers to the nearest hundredth.

Use the vertical line test to determine whether or not the graph is a function.

Determine when .

Identify functions and such that the given function equals .

Find the slope m of the line through the given points. A (-4, 5) and B (-8, -4)

Solve the inequality. 4x2 + 2 > 0

Find the domain of the function.

Find all solutions of .

Graph the following function and describe all extrema. Round answers to the nearest hundredth.

Find the domain of the function.

Identify the amplitude, period and frequency of .

Limits and Continuity

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

Exponentials, Logarithms and Other Transcendental Functions

Integration Techniques

First-Order Differential Equations

Infinite Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables and Partial Differentiation

Multiple Integrals

Vector Calculus

Second Order Differential Equations

Filters

Solve the inequality. 4x² + 2 > 0