Question 1

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 2

Sketch the graph of the function.
-

Accepted Answer

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

Question 3

Use Descartes's rule of signs to discuss the possibilities for the roots of the equation. Do not solve the equation.
-

Accepted Answer

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

Question 4

Find the y-intercepts and any x-intercepts.
-y =   - 3x - 18

Accepted Answer

A)  y-intercept (0, -18), x-intercepts (6, 0) and (-3, 0) 
B)  y-intercept (-18, 0), x-intercepts (0, 6) and (0, -3) 
C)  y-intercept (0, 18), x-intercepts (6, 0) and (-3, 0) 
D)  y-intercept (0, -18), x-intercepts (-6, 0) and (3, 0) 
A)  y-intercept (0, -18), x-intercepts (6, 0) and (-3, 0) 
B)  y-intercept (-18, 0), x-intercepts (0, 6) and (0, -3) 
C)  y-intercept (0, 18), x-intercepts (6, 0) and (-3, 0) 
D)  y-intercept (0, -18), x-intercepts (-6, 0) and (3, 0)

Question 5

Write the quadratic function in the form y =   + k.
-y =   - 12x + 29

Accepted Answer

A)    + 7 
B)    + 7 
C)    - 7 
D)    - 7 
A)    + 7 
B)    + 7 
C)    - 7 
D)    - 7

Question 6

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

Accepted Answer

A)  None 
B)  y = x + 5 
C)  y = x + 3 
D)  x = y + 3 
A)  None 
B)  y = x + 5 
C)  y = x + 3 
D)  x = y + 3

Question 7

Find the y-intercepts and any x-intercepts.
-y =   + 5x + 7

Accepted Answer

A)  y-intercept (0, 7), x-intercept (-5, 0) 
B)  y-intercept (0, 7), x-intercept (1.4, 0) 
C)  no y-intercept, no x-intercept 
D)  y-intercept (0, 7), no x-intercepts 
A)  y-intercept (0, 7), x-intercept (-5, 0) 
B)  y-intercept (0, 7), x-intercept (1.4, 0) 
C)  no y-intercept, no x-intercept 
D)  y-intercept (0, 7), no x-intercepts

Question 8

Determine whether the given number is a zero of the polynomial function.
-P(x) = 5x3 - 6x2 + x + 192; -3

Accepted Answer

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

Question 9

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)  -1, 1, 7 
B)  -7, -i, i 
C)  -7, 7, i 
D)  7, -i, i 
A)  -1, 1, 7 
B)  -7, -i, i 
C)  -7, 7, i 
D)  7, -i, i

Question 10

Find the equation and sketch the graph of the function.
-A rational function that passes through   , has the x-axis as as a horizontal asymptote, and has the line x = - 4 as its only vertical asymptote.

Accepted Answer

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

Question 11

Find all real solutions to the equation.
-

Accepted Answer

A)  {2} 
B)  {3, 8} 
C)  {2, 38} 
D)  {-2} 
A)  {2} 
B)  {3, 8} 
C)  {2, 38} 
D)  {-2}

Question 12

Find all real solutions to the equation.
-

Accepted Answer

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

Question 13

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

Accepted Answer

A)    
B)    
C)  (4, 9) 
D)    
A)    
B)    
C)  (4, 9) 
D)

Question 14

Determine whether   .
-y =

Accepted Answer

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

Question 15

Solve the problem.
-The polynomial function I(t) = -0.1t2 + 1.7t represents the yearly income (or loss) from a real estate investment, where t is time in years. After what year does income begin to decline?

Accepted Answer

A)  17 
B)  7.5 
C)  8.5 
D)  11.33 
A)  17 
B)  7.5 
C)  8.5 
D)  11.33

Question 16

Solve the quadratic inequality by graphing an appropriate quadratic function.
-

Accepted Answer

A)    
B)  [-5, -1] 
C)    
D)    
A)    
B)  [-5, -1] 
C)    
D)

Question 17

Graph.
-

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 synthetic division to find the function value.
-f(x) =   - 3x - 200; find f(5).

Accepted Answer

A)  -2092 
B)  -2088 
C)  -1690 
D)  -2090 
A)  -2092 
B)  -2088 
C)  -1690 
D)  -2090

Question 20

Find the maximum or minimum point of the function and state whether it is a maximum or minimum.
-f(x) =   + 20x + 94

Accepted Answer

A)  (-6, 0); maximum 
B)  (-6, -10); maximum 
C)  (0, -10); minimum 
D)  (-10, -6); minimum 
A)  (-6, 0); maximum 
B)  (-6, -10); maximum 
C)  (0, -10); minimum 
D)  (-10, -6); minimum

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

Sketch the graph of the function. -

Use Descartes's rule of signs to discuss the possibilities for the roots of the equation. Do not solve the equation. -

Find the y-intercepts and any x-intercepts. -y = - 3x - 18

Write the quadratic function in the form y = + k. -y = - 12x + 29

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

Find the y-intercepts and any x-intercepts. -y = + 5x + 7

Determine whether the given number is a zero of the polynomial function. -P(x) = 5x3 - 6x2 + x + 192; -3

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. -

Find the equation and sketch the graph of the function. -A rational function that passes through , has the x-axis as as a horizontal asymptote, and has the line x = - 4 as its only vertical asymptote.

Find all real solutions to the equation. -

Find all real solutions to the equation. -

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

Determine whether . -y =

Solve the problem. -The polynomial function I(t) = -0.1t2 + 1.7t represents the yearly income (or loss) from a real estate investment, where t is time in years. After what year does income begin to decline?

Solve the quadratic inequality by graphing an appropriate quadratic function. -

Graph. -

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

Use synthetic division to find the function value. -f(x) = - 3x - 200; find f(5).

Find the maximum or minimum point of the function and state whether it is a maximum or minimum. -f(x) = + 20x + 94

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

Exam 3: Polynomial and Rational Functions

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

Sketch the graph of the function. -

Use Descartes's rule of signs to discuss the possibilities for the roots of the equation. Do not solve the equation. -

Find the y-intercepts and any x-intercepts. -y = - 3x - 18

Write the quadratic function in the form y = + k. -y = - 12x + 29

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

Find the y-intercepts and any x-intercepts. -y = + 5x + 7

Determine whether the given number is a zero of the polynomial function. -P(x) = 5x3 - 6x2 + x + 192; -3

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. -

Find the equation and sketch the graph of the function. -A rational function that passes through , has the x-axis as as a horizontal asymptote, and has the line x = - 4 as its only vertical asymptote.

Find all real solutions to the equation. -

Find all real solutions to the equation. -

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

Determine whether . -y =

Solve the problem. -The polynomial function I(t) = -0.1t2 + 1.7t represents the yearly income (or loss) from a real estate investment, where t is time in years. After what year does income begin to decline?

Solve the quadratic inequality by graphing an appropriate quadratic function. -

Graph. -

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

Use synthetic division to find the function value. -f(x) = - 3x - 200; find f(5).

Find the maximum or minimum point of the function and state whether it is a maximum or minimum. -f(x) = + 20x + 94

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