Question 1

Use division to write the rational expression in the form quotient + remainder/divisor.
-

Accepted Answer

A)    
B)  p - 4 
C)    
D)    
A)    
B)  p - 4 
C)    
D)

Question 2

Match the graph of the rational function with its equation.
-

Accepted Answer

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

Question 3

Find all real solutions to the equation.
-

Accepted Answer

A)  {-9} 
B)  {3, 12} 
C)  {3} 
D)  {12} 
A)  {-9} 
B)  {3, 12} 
C)  {3} 
D)  {12}

Question 4

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

Accepted Answer

A)    
B)    
A)    
B)

Question 5

Find all real and imaginary solutions.
-

Accepted Answer

A)  {0, -2i} 
B)    
C)    
D)    
A)  {0, -2i} 
B)    
C)    
D)

Question 6

Determine whether   .
-y =

Accepted Answer

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

Question 7

Solve the rational inequality. State the solution set using interval notation.
-

Accepted Answer

A)    
B)  No solution 
C)    
D)    
A)    
B)  No solution 
C)    
D)

Question 8

Find the equation and sketch the graph of the function.
-A quadratic function with x-intercepts (1, 0) and (- 5, 0) and y-intercept (0, -5).

Accepted Answer

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

Question 9

Use the rational zero theorem to find all possible rational zeros for the polynomial function.
-P(x) =   + 2x - 14

Accepted Answer

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

Question 10

Sketch the graph of the polynomial function.
-

Accepted Answer

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

Question 11

Sketch the graph of the function.
-

Accepted Answer

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

Question 12

Describe the behavior of the function's graph at its x-intercepts.
-

Accepted Answer

A)  Does not cross at (2, 0), crosses at (-2, 0) 
B)  Crosses at (2, 0) and (-2, 0) 
C)  Crosses at (2, 0), does not cross at (-2, 0) 
D)  Does not cross at (2, 0) or (-2, 0) 
A)  Does not cross at (2, 0), crosses at (-2, 0) 
B)  Crosses at (2, 0) and (-2, 0) 
C)  Crosses at (2, 0), does not cross at (-2, 0) 
D)  Does not cross at (2, 0) or (-2, 0)

Question 13

Determine whether the given number is a zero of the polynomial function.
-P(x) =   - 6; 2

Accepted Answer

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

Question 14

Find all of the real and imaginary zeros for the polynomial function.
-f(x) =   + 27

Accepted Answer

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

Question 15

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

Accepted Answer

A)    
B)    
A)    
B)

Question 16

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

Accepted Answer

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

Question 17

Graph.
-

Accepted Answer

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

Question 18

Identify the axis of symmetry of the parabola.
-y =   - 6x + 17

Accepted Answer

A)  x = 3 
B)  x = -3 
C)  x = 8 
D)  x = 0 
A)  x = 3 
B)  x = -3 
C)  x = 8 
D)  x = 0

Question 19

Find all real solutions to the equation.
-

Accepted Answer

A)  {14} 
B)  {18} 
C)  0 
D)    
A)  {14} 
B)  {18} 
C)  0 
D)

Question 20

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)    , -4, -2i, 2i 
B)    
C)    
D)    
A)    , -4, -2i, 2i 
B)    
C)    
D)

Use division to write the rational expression in the form quotient + remainder/divisor. -

Match the graph of the rational function with its equation. -

Find all real solutions to the equation. -

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

Find all real and imaginary solutions. -

Determine whether . -y =

Solve the rational inequality. State the solution set using interval notation. -

Find the equation and sketch the graph of the function. -A quadratic function with x-intercepts (1, 0) and (- 5, 0) and y-intercept (0, -5).

Use the rational zero theorem to find all possible rational zeros for the polynomial function. -P(x) = + 2x - 14

Sketch the graph of the polynomial function. -

Sketch the graph of the function. -

Describe the behavior of the function's graph at its x-intercepts. -

Determine whether the given number is a zero of the polynomial function. -P(x) = - 6; 2

Find all of the real and imaginary zeros for the polynomial function. -f(x) = + 27

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

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

Graph. -

Identify the axis of symmetry of the parabola. -y = - 6x + 17

Find all real solutions to the 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. -

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

Use division to write the rational expression in the form quotient + remainder/divisor. -

Match the graph of the rational function with its equation. -

Find all real solutions to the equation. -

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

Find all real and imaginary solutions. -

Determine whether . -y =

Solve the rational inequality. State the solution set using interval notation. -

Find the equation and sketch the graph of the function. -A quadratic function with x-intercepts (1, 0) and (- 5, 0) and y-intercept (0, -5).

Use the rational zero theorem to find all possible rational zeros for the polynomial function. -P(x) = + 2x - 14

Sketch the graph of the polynomial function. -

Sketch the graph of the function. -

Describe the behavior of the function's graph at its x-intercepts. -

Determine whether the given number is a zero of the polynomial function. -P(x) = - 6; 2

Find all of the real and imaginary zeros for the polynomial function. -f(x) = + 27

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

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

Graph. -

Identify the axis of symmetry of the parabola. -y = - 6x + 17

Find all real solutions to the 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. -

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