Question 1

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

Accepted Answer

A)    
B)  2 
C)  6 
D)  0 
A)    
B)  2 
C)  6 
D)  0

Question 2

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

Accepted Answer

A)    
B)    - 2x + 2; 10x - 10 
C)    + 2x + 2 
D)    - 2x + 2 
A)    
B)    - 2x + 2; 10x - 10 
C)    + 2x + 2 
D)    - 2x + 2

Question 3

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 4

Find the range of the function.
-f(x) =   - 18x - 82

Accepted Answer

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

Question 5

Use synthetic division and the theorem on bounds to find integers a and b, such that the interval (a, b) contains all real
zeros of the function. By inspecting the graph of each function, find the shortest interval (c, d) that contains all real zeros
of the function with c and d integers. The second interval should be a subinterval of the first.
-y =   - 10x - 6

Accepted Answer

A)  -4 < x < 4, -4 < x < 3 
B)  -4 < x < 4, -2 < x < 4 
C)  -4 < x < 4, -3 < x < 4 
D)  -4 < x < 4, -3 < x < 3 
A)  -4 < x < 4, -4 < x < 3 
B)  -4 < x < 4, -2 < x < 4 
C)  -4 < x < 4, -3 < x < 4 
D)  -4 < x < 4, -3 < x < 3

Question 6

Solve the quadratic inequality by graphing an appropriate quadratic function.
-  - 2x - 35 < 0

Accepted Answer

A)    
B)    
C)  (-5, 7) 
D)    
A)    
B)    
C)  (-5, 7) 
D)

Question 7

Solve the problem.
-As one approaches a certain sound source, the sound intensity in arbitrary units increases according to the following function of time (in seconds):   Starting at t = 0, when the source of sound is first sensed, how much time elapses until maximum sound
Intensity is felt? Round the result to the nearest hundredth.

Accepted Answer

A)  33.28 sec 
B)  1.28 sec 
C)  20.34 sec 
D)  0.45 sec 
A)  33.28 sec 
B)  1.28 sec 
C)  20.34 sec 
D)  0.45 sec

Question 8

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

Accepted Answer

A)  Does not cross at (2, 0) or (-5, 0) 
B)  Crosses at (5, 0) but not at (-2, 0) 
C)  Crosses at (2, 0) but not at (-5, 0) 
D)  Crosses at (2, 0) and (-5, 0) 
A)  Does not cross at (2, 0) or (-5, 0) 
B)  Crosses at (5, 0) but not at (-2, 0) 
C)  Crosses at (2, 0) but not at (-5, 0) 
D)  Crosses at (2, 0) and (-5, 0)

Question 9

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

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

Find the range of the function.
-f(x) = -3 -

Accepted Answer

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

Question 12

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 4, inc   
B)    min -5, inc [0, 4), dec   
C)    max 4, inc   
D)    
A)    , max 4, inc   
B)    min -5, inc [0, 4), dec   
C)    max 4, inc   
D)

Question 13

Find the y-intercepts and any x-intercepts.
-y =   + 4x

Accepted Answer

A)  y-intercept (0, 0), x-intercepts (0, 0) and (0, -4) 
B)  y-intercept (0, 0), x-intercept (-4, 0) 
C)  y-intercept (0, 0), x-intercepts (0, 0) and (4, 0) 
D)  y-intercept (0, 0), x-intercepts (0, 0) and (-4, 0) 
A)  y-intercept (0, 0), x-intercepts (0, 0) and (0, -4) 
B)  y-intercept (0, 0), x-intercept (-4, 0) 
C)  y-intercept (0, 0), x-intercepts (0, 0) and (4, 0) 
D)  y-intercept (0, 0), x-intercepts (0, 0) and (-4, 0)

Question 14

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

Accepted Answer

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

Question 15

Find all real and imaginary solutions.
-

Accepted Answer

A)  {1, -1} 
B)  {-2, -1, 1} 
C)  {2, -1} 
D)  {2, 1, -1} 
A)  {1, -1} 
B)  {-2, -1, 1} 
C)  {2, -1} 
D)  {2, 1, -1}

Question 16

Find the maximum or minimum point of the function and state whether it is a maximum or minimum.
-f(x) =   - 30x - 85

Accepted Answer

A)  (10, 5); maximum 
B)  (-5, -10); maximum 
C)  (10, 0); minimum 
D)  (0, 5); minimum 
A)  (10, 5); maximum 
B)  (-5, -10); maximum 
C)  (10, 0); minimum 
D)  (0, 5); minimum

Question 17

Find all of the real and imaginary zeros for the polynomial function.
-f(x) =   - 36x + 144

Accepted Answer

A)  36, 4, 144 
B)  4 
C)  -4, 4, 6 
D)  -6, 4, 6 
A)  36, 4, 144 
B)  4 
C)  -4, 4, 6 
D)  -6, 4, 6

Question 18

Sketch the graph of the polynomial function.
-

Accepted Answer

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

Question 19

Determine whether   .
-y = 6

Accepted Answer

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

Question 20

Identify the solution set to the inequality by inspecting the graph.
-

Accepted Answer

A)    
B)  [2, 6] 
C)    
D)    
A)    
B)  [2, 6] 
C)    
D)

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

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

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

Find the range of the function. -f(x) = - 18x - 82

Solve the quadratic inequality by graphing an appropriate quadratic function. - - 2x - 35 < 0

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

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

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

Find the range of the function. -f(x) = -3 -

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. -

Find the y-intercepts and any x-intercepts. -y = + 4x

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

Find all real and imaginary solutions. -

Find the maximum or minimum point of the function and state whether it is a maximum or minimum. -f(x) = - 30x - 85

Find all of the real and imaginary zeros for the polynomial function. -f(x) = - 36x + 144

Sketch the graph of the polynomial function. -

Determine whether . -y = 6

Identify the solution set to the inequality by inspecting the graph. -

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 a graph or a table to find the limit. -

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

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

Find the range of the function. -f(x) = - 18x - 82

Solve the quadratic inequality by graphing an appropriate quadratic function. - - 2x - 35 < 0

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

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

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

Find the range of the function. -f(x) = -3 -

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. -

Find the y-intercepts and any x-intercepts. -y = + 4x

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

Find all real and imaginary solutions. -

Find the maximum or minimum point of the function and state whether it is a maximum or minimum. -f(x) = - 30x - 85

Find all of the real and imaginary zeros for the polynomial function. -f(x) = - 36x + 144

Sketch the graph of the polynomial function. -

Determine whether . -y = 6

Identify the solution set to the inequality by inspecting the graph. -

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