Question 1

Sketch the graph of the polynomial function.
-

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

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 4

Identify the axis of symmetry of the parabola.
-y =   + 8x + 9

Accepted Answer

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

Question 5

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)  -10, -5, 1, multiplicity 2 
B)  -10, -5, -1, 1 
C)  -5, -1, 1, 10 
D)  -1, 1, 5, 10 
A)  -10, -5, 1, multiplicity 2 
B)  -10, -5, -1, 1 
C)  -5, -1, 1, 10 
D)  -1, 1, 5, 10

Question 6

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

Accepted Answer

A)    - 144 
B)    + 12 
C)    - 36 
D)    + 6 
A)    - 144 
B)    + 12 
C)    - 36 
D)    + 6

Question 7

Tell whether the graph of the function opens up or down.
-P(x) =   - 2x + 1

Accepted Answer

A)  up 
B)  down 
A)  up 
B)  down

Question 8

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 9

Find the equation that the given graph represents.
-

Accepted Answer

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

Question 10

Determine whether the given number is a zero of the polynomial function.
-P(x) =   - 32; -2

Accepted Answer

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

Question 11

Solve the problem.
-A piece of rectangular sheet metal is 5 inches wide. It is to be made into a rain gutter by turning up equal edges to form parallel sides. If the length of each parallel side is x inches, what value of x will maximize the rain
Gutter's cross-sectional area (and thus maximize the amount of water the gutter will hold)? If necessary, round
To the nearest hundredth.

Accepted Answer

A)  1.25 in. 
B)  10 in. 
C)  20 in. 
D)  2.5 in. 
A)  1.25 in. 
B)  10 in. 
C)  20 in. 
D)  2.5 in.

Question 12

Find the equation and sketch the graph of the function.
-A rational function passing through (0, - 2), has the x-axis as a horizontal asymptote, and has two vertical asymptotes x = 3 and x = -3.

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

Find all of the real and imaginary roots, stating the multiplicity of each.
-f(x) = -

Accepted Answer

A)  -3 with multiplicity 30 with multiplicity 27 with multiplicity 1 
B)  -3 with multiplicity 13 with multiplicity 17 with multiplicity 1 
C)  -3 with multiplicity 30 with multiplicity 23 with multiplicity 17 with multiplicity 1 
D)  -3 with multiplicity 37 with multiplicity 1 
A)  -3 with multiplicity 30 with multiplicity 27 with multiplicity 1 
B)  -3 with multiplicity 13 with multiplicity 17 with multiplicity 1 
C)  -3 with multiplicity 30 with multiplicity 23 with multiplicity 17 with multiplicity 1 
D)  -3 with multiplicity 37 with multiplicity 1

Question 15

Find a polynomial equation with real coefficients that has the given roots.
-2, -6, 2 + 4i

Accepted Answer

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

Question 16

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

Accepted Answer

A)    with multiplicity 3   with multiplicity 3 
B)    with multiplicity 3   with multiplicity 3 
C)    with multiplicity 3   with multiplicity 4 
D)    with multiplicity 3   with multiplicity 3 
A)    with multiplicity 3   with multiplicity 3 
B)    with multiplicity 3   with multiplicity 3 
C)    with multiplicity 3   with multiplicity 4 
D)    with multiplicity 3   with multiplicity 3

Question 17

Find the range of the function.
-f(x) =   + 80x + 317

Accepted Answer

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

Question 18

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

Accepted Answer

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

Question 19

Solve the polynomial inequality. State the solution set using interval notation.
-(x - 1)(x - 6)(x - 7) < 0

Accepted Answer

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

Question 20

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)

Sketch the graph of the polynomial function. -

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

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

Identify the axis of symmetry of the parabola. -y = + 8x + 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. -

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

Tell whether the graph of the function opens up or down. -P(x) = - 2x + 1

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

Find the equation that the given graph represents. -

Determine whether the given number is a zero of the polynomial function. -P(x) = - 32; -2

Find the equation and sketch the graph of the function. -A rational function passing through (0, - 2), has the x-axis as a horizontal asymptote, and has two vertical asymptotes x = 3 and x = -3.

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

Find all of the real and imaginary roots, stating the multiplicity of each. -f(x) = -

Find a polynomial equation with real coefficients that has the given roots. -2, -6, 2 + 4i

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

Find the range of the function. -f(x) = + 80x + 317

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

Solve the polynomial inequality. State the solution set using interval notation. -(x - 1)(x - 6)(x - 7) < 0

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

Equations, Inequalities, and Modeling

Functions and Graphs

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The Trigonometric Functions

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Exam 3: Polynomial and Rational Functions

Sketch the graph of the polynomial function. -

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

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

Identify the axis of symmetry of the parabola. -y = + 8x + 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. -

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

Tell whether the graph of the function opens up or down. -P(x) = - 2x + 1

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

Find the equation that the given graph represents. -

Determine whether the given number is a zero of the polynomial function. -P(x) = - 32; -2

Find the equation and sketch the graph of the function. -A rational function passing through (0, - 2), has the x-axis as a horizontal asymptote, and has two vertical asymptotes x = 3 and x = -3.

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

Find all of the real and imaginary roots, stating the multiplicity of each. -f(x) = -

Find a polynomial equation with real coefficients that has the given roots. -2, -6, 2 + 4i

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

Find the range of the function. -f(x) = + 80x + 317

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

Solve the polynomial inequality. State the solution set using interval notation. -(x - 1)(x - 6)(x - 7) < 0

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