Question 1

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

Accepted Answer

A)  (3, 3); maximum 
B)  (3, 0); minimum 
C)  (0, 3); minimum 
D)  (- 3, - 3); maximum 
A)  (3, 3); maximum 
B)  (3, 0); minimum 
C)  (0, 3); minimum 
D)  (- 3, - 3); maximum

Question 2

Use the theorem on bounds to establish the best integral bounds for the roots of the equation.
-

Accepted Answer

A)  -3 < x < 2 
B)  -2 < x < 2 
C)  -1 < x < 2 
D)  -1 < x < 1 
A)  -3 < x < 2 
B)  -2 < x < 2 
C)  -1 < x < 2 
D)  -1 < x < 1

Question 3

Sketch the graph of the polynomial function.
-

Accepted Answer

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

Question 4

Find all real and imaginary solutions.
-  + 11 = 0

Accepted Answer

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

Question 5

Find a polynomial equation with real coefficients that has the given roots.
-0, -1, 3

Accepted Answer

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

Question 6

Find the product.
-

Accepted Answer

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

Question 7

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

Accepted Answer

A)  7 
B)    
C)  0 
D)    
A)  7 
B)    
C)  0 
D)

Question 8

Use synthetic division to find the function value.
-f(x) = 4x5 - 5x4 + 5x3 - x + 7; find f(4).

Accepted Answer

A)  3152 
B)  3139 
C)  3142 
D)  3147 
A)  3152 
B)  3139 
C)  3142 
D)  3147

Question 9

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

Accepted Answer

A)    
B)    
A)    
B)

Question 10

Use a graphing calculator to estimate the local maximum and local minimum values of the function to the nearest
hundredth.
-

Accepted Answer

A)  Loc max value 1.60, loc min value -0.71 
B)  Loc max value 3.17, loc min value 1.60 
C)  Loc max value -0.71, loc min value -5.56 
D)  Loc max value 3.63, loc min value -6.01 
A)  Loc max value 1.60, loc min value -0.71 
B)  Loc max value 3.17, loc min value 1.60 
C)  Loc max value -0.71, loc min value -5.56 
D)  Loc max value 3.63, loc min value -6.01

Question 11

Sketch the graph of the polynomial function.
-

Accepted Answer

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

Question 12

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 13

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

Accepted Answer

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

Question 14

Use the theorem on bounds to establish the best integral bounds for the roots of the equation.
-

Accepted Answer

A)  -1 < x < 2 
B)  -2 < x < 2 
C)  -2 < x < 1 
D)  -1 < x < 1 
A)  -1 < x < 2 
B)  -2 < x < 2 
C)  -2 < x < 1 
D)  -1 < x < 1

Question 15

Sketch the graph of the function.
-

Accepted Answer

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

Question 16

Describe the behavior of the function's graph at its x-intercepts.
-f(x) =

Accepted Answer

A)  Crosses at (3, 0) and (-5, 0) 
B)  Does not cross at (3, 0) , crosses at (-5, 0) 
C)  Does not cross at (3, 0) or (-5, 0) 
D)  Does not cross at (5, 0) , crosses at (-3, 0) 
A)  Crosses at (3, 0) and (-5, 0) 
B)  Does not cross at (3, 0) , crosses at (-5, 0) 
C)  Does not cross at (3, 0) or (-5, 0) 
D)  Does not cross at (5, 0) , crosses at (-3, 0)

Question 17

Solve the polynomial inequality. State the solution set using interval notation.
-(x + 10)(x - 2)(x - 4) > 0

Accepted Answer

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

Question 18

State the solution set to the inequality by reading the graph.
-

Accepted Answer

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

Question 19

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

Accepted Answer

A)  3 
B)  0 
C)    
D)    
A)  3 
B)  0 
C)    
D)

Question 20

Give the interval where the function increases or decreases, as requested.
-f(x) =   + 2 decreases

Accepted Answer

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

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

Use the theorem on bounds to establish the best integral bounds for the roots of the equation. -

Sketch the graph of the polynomial function. -

Find all real and imaginary solutions. - + 11 = 0

Find a polynomial equation with real coefficients that has the given roots. -0, -1, 3

Find the product. -

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

Use synthetic division to find the function value. -f(x) = 4x5 - 5x4 + 5x3 - x + 7; find f(4).

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

Use a graphing calculator to estimate the local maximum and local minimum values of the function to the nearest hundredth. -

Sketch the graph of the polynomial function. -

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

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

Use the theorem on bounds to establish the best integral bounds for the roots of the equation. -

Sketch the graph of the function. -

Describe the behavior of the function's graph at its x-intercepts. -f(x) =

Solve the polynomial inequality. State the solution set using interval notation. -(x + 10)(x - 2)(x - 4) > 0

State the solution set to the inequality by reading the graph. -

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

Give the interval where the function increases or decreases, as requested. -f(x) = + 2 decreases

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

Use the theorem on bounds to establish the best integral bounds for the roots of the equation. -

Sketch the graph of the polynomial function. -

Find all real and imaginary solutions. - + 11 = 0

Find a polynomial equation with real coefficients that has the given roots. -0, -1, 3

Find the product. -

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

Use synthetic division to find the function value. -f(x) = 4x5 - 5x4 + 5x3 - x + 7; find f(4).

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

Use a graphing calculator to estimate the local maximum and local minimum values of the function to the nearest hundredth. -

Sketch the graph of the polynomial function. -

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

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

Use the theorem on bounds to establish the best integral bounds for the roots of the equation. -

Sketch the graph of the function. -

Describe the behavior of the function's graph at its x-intercepts. -f(x) =

Solve the polynomial inequality. State the solution set using interval notation. -(x + 10)(x - 2)(x - 4) > 0

State the solution set to the inequality by reading the graph. -

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

Give the interval where the function increases or decreases, as requested. -f(x) = + 2 decreases

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