Question 1

Find all real and imaginary solutions to the equation.
-

Accepted Answer

A)  - 3, 1 
B)    
C)    
D)  {-5, 7} 
A)  - 3, 1 
B)    
C)    
D)  {-5, 7}

Question 2

Determine the domain and the equations of the asymptotes for the graph of the rational function.
-

Accepted Answer

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

Question 3

Solve the absolute value equation.
-|

Accepted Answer

A)    
B)    
C)    
D)  - 13 , - 95 
A)    
B)    
C)    
D)  - 13 , - 95

Question 4

Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in finding all real and
imaginary roots to the equation.
-

Accepted Answer

A)    
B)    
C)    , multiplicity 2; -   
D)    
A)    
B)    
C)    , multiplicity 2; -   
D)

Question 5

Provide an appropriate response.
-Fill in the blanks to complete the statement. A polynomial function of degree 11 has at least x-intercept(s) and at most   x-intercept(s).

Accepted Answer

A)  1; 11 
B)  11; 11 
C)  0; 10 
D)  10; 11 
A)  1; 11 
B)  11; 11 
C)  0; 10 
D)  10; 11

Question 6

Use ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the
second.
-

Accepted Answer

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

Question 7

For the given function, find all asymptotes of the type indicated (if there are any).
-f(x) =   , vertical

Accepted Answer

A)  x = 4 
B)  x = 6 
C)  x = 6, x = -6 
D)  x = -6 
A)  x = 4 
B)  x = 6 
C)  x = 6, x = -6 
D)  x = -6

Question 8

Use ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the
second.
-

Accepted Answer

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

Question 9

Find the maximum or minimum point of the function and state whether it is a maximum or minimum.
-f(x) =

Accepted Answer

A)  (5, 6); minimum 
B)  (6, 5); maximum 
C)  (6, 0); maximum 
D)  (0, 5); minimum 
A)  (5, 6); minimum 
B)  (6, 5); maximum 
C)  (6, 0); maximum 
D)  (0, 5); minimum

Question 10

Determine whether the given number is a zero of the polynomial function.
-P(x) =   + 4x + 21; -3

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 11

State the domain of the rational function.
-f(x) =

Accepted Answer

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

Question 12

Find all real solutions to the equation.
-13 +   = 1 + x

Accepted Answer

A)  {6} 
B)    
C)  {6, 24} 
D)  {24} 
A)  {6} 
B)    
C)  {6, 24} 
D)  {24}

Question 13

Discuss the symmetry of the graph of the polynomial function.
-f(x) = -7x

Accepted Answer

A)  Symmetric about origin 
B)  None 
C)  Symmetric about y-axis 
D)  Symmetric about x = -7 
A)  Symmetric about origin 
B)  None 
C)  Symmetric about y-axis 
D)  Symmetric about x = -7

Question 14

Explain the behavior of the graph of f(x) as it approaches its vertical asymptote.
-f(x) =

Accepted Answer

A)    from the left, approaches   from the right 
B)    from the left, approaches   from the right 
C)    from the left and the right 
D)    from the left and the right 
A)    from the left, approaches   from the right 
B)    from the left, approaches   from the right 
C)    from the left and the right 
D)    from the left and the right

Question 15

Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in finding all real and
imaginary roots to the equation.
-  - 48x - 128 = 0

Accepted Answer

A)  -8, -4, 4 
B)  -4, 4, 8 
C)  -4, multiplicity 2; 8 
D)  -4, -4, -8 
A)  -8, -4, 4 
B)  -4, 4, 8 
C)  -4, multiplicity 2; 8 
D)  -4, -4, -8

Question 16

Use the leading coefficient test to determine whether   .
-y =

Accepted Answer

A)    
B)    
A)    
B)

Question 17

Use the leading coefficient test to determine whether   .
-y =

Accepted Answer

A)    
B)    
A)    
B)

Question 18

Tell whether the graph of the function opens up or down.
-P(x) =

Accepted Answer

A)  up 
B)  down 
A)  up 
B)  down

Question 19

State the degree of the polynomial equation.
-3x(x - 8)(x + 10) = 0

Accepted Answer

A)  4 
B)  1 
C)  2 
D)  3 
A)  4 
B)  1 
C)  2 
D)  3

Question 20

Find all of the real and imaginary zeros for the polynomial function.
-f(x) =   + x - 6

Accepted Answer

A)  6, -i, i 
B)  -6, -i, i 
C)  -6, 6, i 
D)  -1, 1, 6 
A)  6, -i, i 
B)  -6, -i, i 
C)  -6, 6, i 
D)  -1, 1, 6

Find all real and imaginary solutions to the equation. -

Determine the domain and the equations of the asymptotes for the graph of the rational function. -

Solve the absolute value equation. -|

Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in finding all real and imaginary roots to the equation. -

Provide an appropriate response. -Fill in the blanks to complete the statement. A polynomial function of degree 11 has at least x-intercept(s) and at most x-intercept(s).

Use ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second. -

For the given function, find all asymptotes of the type indicated (if there are any). -f(x) = , vertical

Use ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second. -

Find the maximum or minimum point of the function and state whether it is a maximum or minimum. -f(x) =

Determine whether the given number is a zero of the polynomial function. -P(x) = + 4x + 21; -3

State the domain of the rational function. -f(x) =

Find all real solutions to the equation. -13 + = 1 + x

Discuss the symmetry of the graph of the polynomial function. -f(x) = -7x

Explain the behavior of the graph of f(x) as it approaches its vertical asymptote. -f(x) =

Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in finding all real and imaginary roots to the equation. - - 48x - 128 = 0

Use the leading coefficient test to determine whether . -y =

Use the leading coefficient test to determine whether . -y =

Tell whether the graph of the function opens up or down. -P(x) =

State the degree of the polynomial equation. -3x(x - 8)(x + 10) = 0

Find all of the real and imaginary zeros for the polynomial function. -f(x) = + x - 6

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Exam 3: Polynomial and Rational Functions

Find all real and imaginary solutions to the equation. -

Determine the domain and the equations of the asymptotes for the graph of the rational function. -

Solve the absolute value equation. -|

Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in finding all real and imaginary roots to the equation. -

Provide an appropriate response. -Fill in the blanks to complete the statement. A polynomial function of degree 11 has at least x-intercept(s) and at most x-intercept(s).

Use ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second. -

For the given function, find all asymptotes of the type indicated (if there are any). -f(x) = , vertical

Use ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second. -

Find the maximum or minimum point of the function and state whether it is a maximum or minimum. -f(x) =

Determine whether the given number is a zero of the polynomial function. -P(x) = + 4x + 21; -3

State the domain of the rational function. -f(x) =

Find all real solutions to the equation. -13 + = 1 + x

Discuss the symmetry of the graph of the polynomial function. -f(x) = -7x

Explain the behavior of the graph of f(x) as it approaches its vertical asymptote. -f(x) =

Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in finding all real and imaginary roots to the equation. - - 48x - 128 = 0

Use the leading coefficient test to determine whether . -y =

Use the leading coefficient test to determine whether . -y =

Tell whether the graph of the function opens up or down. -P(x) =

State the degree of the polynomial equation. -3x(x - 8)(x + 10) = 0

Find all of the real and imaginary zeros for the polynomial function. -f(x) = + x - 6

Equations, Inequalities, and Modeling

Functions and Graphs

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters