Question 1

Find all of the real and imaginary zeros for the polynomial function.
-y =   - 20x + 20

Accepted Answer

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

Question 2

Identify the axis of symmetry of the parabola.
-y =   - 40x + 102

Accepted Answer

A)  x = -5 
B)  x = 5 
C)  x = 2 
D)  x = -2 
A)  x = -5 
B)  x = 5 
C)  x = 2 
D)  x = -2

Question 3

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

Accepted Answer

A)  x - 2; -14 
B)  x + 2; 14 
C)  x - 2; -8 
D)  x + 2; 8 
A)  x - 2; -14 
B)  x + 2; 14 
C)  x - 2; -8 
D)  x + 2; 8

Question 4

Find all of the real and imaginary roots, stating the multiplicity of each.
-

Accepted Answer

A)  16 with multiplicity 23 with multiplicity 1 
B)  -4 with multiplicity 14 with multiplicity 1-3 with multiplicity 13 with multiplicity 1 
C)  16 with multiplicity 29 with multiplicity 2 
D)  16 with multiplicity 19 with multiplicity 1 
A)  16 with multiplicity 23 with multiplicity 1 
B)  -4 with multiplicity 14 with multiplicity 1-3 with multiplicity 13 with multiplicity 1 
C)  16 with multiplicity 29 with multiplicity 2 
D)  16 with multiplicity 19 with multiplicity 1

Question 5

Find a polynomial equation with real coefficients that has the given roots.
-5i, -5i

Accepted Answer

A)    
B)    
C)  x2 - 10 - 25 = 0 
D)  x2 + 10 + 25 = 0 
A)    
B)    
C)  x2 - 10 - 25 = 0 
D)  x2 + 10 + 25 = 0

Question 6

Find all real and imaginary solutions.
-

Accepted Answer

A)    
B)    
C)    
D)  {-3, 75i, 25i} 
A)    
B)    
C)    
D)  {-3, 75i, 25i}

Question 7

Give the interval where the function increases or decreases, as requested.
-f(x) =   decreases

Accepted Answer

A)  [0,8] 
B)    
C)  [-8,0] 
D)    
A)  [0,8] 
B)    
C)  [-8,0] 
D)

Question 8

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

Accepted Answer

A)  x = 9 
B)  x = 3, x = -3 
C)  None 
D)  x = -9 
A)  x = 9 
B)  x = 3, x = -3 
C)  None 
D)  x = -9

Question 9

From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of
symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which
the function is increasing or decreasing.
-

Accepted Answer

A)    , max 9, inc   
B)    , max 9, inc   
C)    , max 9, inc   
D)    , max 9, inc   
A)    , max 9, inc   
B)    , max 9, inc   
C)    , max 9, inc   
D)    , max 9, inc

Question 10

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

Accepted Answer

A)    
B)    
A)    
B)

Question 11

Solve the inequality. State the solution set in interval notation and graph it.
-

Accepted Answer

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

Question 12

Find a polynomial equation with real coefficients that has the given roots.
-9

Accepted Answer

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

Question 13

Graph.
-

Accepted Answer

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

Question 14

Sketch the graph of the rational function. Note that the function is not in lowest terms.
-

Accepted Answer

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

Question 15

Use a graph or a table to find the limit.
-

Accepted Answer

A)  2 
B)  5 
C)    
D)  0 
A)  2 
B)  5 
C)    
D)  0

Question 16

From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of
symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which
the function is increasing or decreasing.
-

Accepted Answer

A)    min -4, dec   
B)    , min -2, dec   
C)    min -4, dec   
D)    
A)    min -4, dec   
B)    , min -2, dec   
C)    min -4, dec   
D)

Question 17

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

Accepted Answer

A)    
B)    
A)    
B)

Question 18

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 19

Solve the absolute value equation.
-

Accepted Answer

A)    
B)  {16} 
C)    
D)    
A)    
B)  {16} 
C)    
D)

Question 20

Use synthetic division 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)

Find all of the real and imaginary zeros for the polynomial function. -y = - 20x + 20

Identify the axis of symmetry of the parabola. -y = - 40x + 102

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

Find all of the real and imaginary roots, stating the multiplicity of each. -

Find a polynomial equation with real coefficients that has the given roots. -5i, -5i

Find all real and imaginary solutions. -

Give the interval where the function increases or decreases, as requested. -f(x) = decreases

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

From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which the function is increasing or decreasing. -

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

Solve the inequality. State the solution set in interval notation and graph it. -

Find a polynomial equation with real coefficients that has the given roots. -9

Graph. -

Sketch the graph of the rational function. Note that the function is not in lowest terms. -

Use a graph or a table to find the limit. -

From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which the function is increasing or decreasing. -

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

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

Solve the absolute value equation. -

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

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

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Exam 3: Polynomial and Rational Functions

Find all of the real and imaginary zeros for the polynomial function. -y = - 20x + 20

Identify the axis of symmetry of the parabola. -y = - 40x + 102

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

Find all of the real and imaginary roots, stating the multiplicity of each. -

Find a polynomial equation with real coefficients that has the given roots. -5i, -5i

Find all real and imaginary solutions. -

Give the interval where the function increases or decreases, as requested. -f(x) = decreases

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

From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which the function is increasing or decreasing. -

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

Solve the inequality. State the solution set in interval notation and graph it. -

Find a polynomial equation with real coefficients that has the given roots. -9

Graph. -

Sketch the graph of the rational function. Note that the function is not in lowest terms. -

Use a graph or a table to find the limit. -

From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which the function is increasing or decreasing. -

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

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

Solve the absolute value equation. -

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

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