Question 1

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

Accepted Answer

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

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

Question 3

Provide an appropriate response.
-Fill in the blanks to complete the statement. The graph of   has exactly x-intercept(s) and   y-intercept(s).

Accepted Answer

A)  2; 1 
B)  1; 2 
C)  1; 1 
D)  6; 1 
A)  2; 1 
B)  1; 2 
C)  1; 1 
D)  6; 1

Question 4

Give the interval where the function increases or decreases, as requested.
-f(x) =   + 9 increases

Accepted Answer

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

Question 5

Solve the inequality. State the solution set in interval notation and graph it.
-

Accepted Answer

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

Question 6

Find the equation that the given graph represents.
-

Accepted Answer

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

Question 7

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

Accepted Answer

A)  -1 with multiplicity 11 with multiplicity 1 
B)  -1 with multiplicity 11 with multiplicity 2 
C)  1 with multiplicity 21 with multiplicity 1 
D)  -1 with multiplicity 21 with multiplicity 1 
A)  -1 with multiplicity 11 with multiplicity 1 
B)  -1 with multiplicity 11 with multiplicity 2 
C)  1 with multiplicity 21 with multiplicity 1 
D)  -1 with multiplicity 21 with multiplicity 1

Question 8

Provide an appropriate response.
-Fill in the blank to complete the statement. For the polynomial function   , as

Accepted Answer

A)  -4.2 
B)    
C)  0 
D)    
A)  -4.2 
B)    
C)  0 
D)

Question 9

Find the maximum or minimum point of the function and state whether it is a maximum or minimum.
-f(x) = -   + 180x - 807

Accepted Answer

A)  (-3, 0); minimum 
B)  (0, -9); minimum 
C)  (-3, -9); maximum 
D)  (9, 3); maximum 
A)  (-3, 0); minimum 
B)  (0, -9); minimum 
C)  (-3, -9); maximum 
D)  (9, 3); maximum

Question 10

Find the maximum or minimum point of the function and state whether it is a maximum or minimum.
-f(x) =   + 6x + 5

Accepted Answer

A)  (0, -3); maximum 
B)  (-4, -3); maximum 
C)  (-3, -4); minimum 
D)  (-4, 0); minimum 
A)  (0, -3); maximum 
B)  (-4, -3); maximum 
C)  (-3, -4); minimum 
D)  (-4, 0); minimum

Question 11

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

Accepted Answer

A)    
B)    
C)  x + 6 
D)    
A)    
B)    
C)  x + 6 
D)

Question 12

Solve the problem.
-Suppose a cost-benefit model is given by   where y is the cost in thousands of dollars for removing x percent of a given pollutant. Find the cost of removing 55% to the nearest dollar.

Accepted Answer

A)  $4345 
B)  $7900 
C)  $1222 
D)  $9655 
A)  $4345 
B)  $7900 
C)  $1222 
D)  $9655

Question 13

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

Accepted Answer

A)  None 
B)  x = y + 11 
C)  y = x - 5 
D)  y = x + 11 
A)  None 
B)  x = y + 11 
C)  y = x - 5 
D)  y = x + 11

Question 14

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

Accepted Answer

A)    
B)    
C)    
D)  [-4, -2] 
A)    
B)    
C)    
D)  [-4, -2]

Question 15

Solve the problem.
-John owns a hotdog stand. He has found that his profit is represented by the equation   , with P being profits and x the number of hotdogs. How many hotdogs must he sell to earn the most profit?

Accepted Answer

A)  30 hotdogs 
B)  29 hotdogs 
C)  45 hotdogs 
D)  22 hotdogs 
A)  30 hotdogs 
B)  29 hotdogs 
C)  45 hotdogs 
D)  22 hotdogs

Question 16

Determine whether   .
-y =

Accepted Answer

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

Question 17

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

Accepted Answer

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

Question 18

Find all of the real and imaginary zeros for the polynomial function.
-f(x) =   + 10x - 6

Accepted Answer

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

Question 19

Solve the problem.
-The polynomial   measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase between 14 and 15 seconds?

Accepted Answer

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

Question 20

Discuss the symmetry of the graph of the polynomial function.
-f(x) =

Accepted Answer

A)  Symmetric about y-axis 
B)  Symmetric about x-axis 
C)  None 
D)  Symmetric about origin 
A)  Symmetric about y-axis 
B)  Symmetric about x-axis 
C)  None 
D)  Symmetric about origin

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

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

Provide an appropriate response. -Fill in the blanks to complete the statement. The graph of has exactly x-intercept(s) and y-intercept(s).

Give the interval where the function increases or decreases, as requested. -f(x) = + 9 increases

Solve the inequality. State the solution set in interval notation and graph it. -

Find the equation that the given graph represents. -

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

Provide an appropriate response. -Fill in the blank to complete the statement. For the polynomial function , as

Find the maximum or minimum point of the function and state whether it is a maximum or minimum. -f(x) = - + 180x - 807

Find the maximum or minimum point of the function and state whether it is a maximum or minimum. -f(x) = + 6x + 5

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

Solve the problem. -Suppose a cost-benefit model is given by where y is the cost in thousands of dollars for removing x percent of a given pollutant. Find the cost of removing 55% to the nearest dollar.

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

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

Solve the problem. -John owns a hotdog stand. He has found that his profit is represented by the equation , with P being profits and x the number of hotdogs. How many hotdogs must he sell to earn the most profit?

Determine whether . -y =

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

Find all of the real and imaginary zeros for the polynomial function. -f(x) = + 10x - 6

Solve the problem. -The polynomial measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase between 14 and 15 seconds?

Discuss the symmetry of the graph of the polynomial function. -f(x) =

Equations, Inequalities, and Modeling

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Exponential and Logarithmic Functions

The Trigonometric Functions

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Basic Algebra Review

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Exam 3: Polynomial and Rational Functions

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

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

Provide an appropriate response. -Fill in the blanks to complete the statement. The graph of has exactly x-intercept(s) and y-intercept(s).

Give the interval where the function increases or decreases, as requested. -f(x) = + 9 increases

Solve the inequality. State the solution set in interval notation and graph it. -

Find the equation that the given graph represents. -

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

Provide an appropriate response. -Fill in the blank to complete the statement. For the polynomial function , as

Find the maximum or minimum point of the function and state whether it is a maximum or minimum. -f(x) = - + 180x - 807

Find the maximum or minimum point of the function and state whether it is a maximum or minimum. -f(x) = + 6x + 5

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

Solve the problem. -Suppose a cost-benefit model is given by where y is the cost in thousands of dollars for removing x percent of a given pollutant. Find the cost of removing 55% to the nearest dollar.

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

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

Solve the problem. -John owns a hotdog stand. He has found that his profit is represented by the equation , with P being profits and x the number of hotdogs. How many hotdogs must he sell to earn the most profit?

Determine whether . -y =

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

Find all of the real and imaginary zeros for the polynomial function. -f(x) = + 10x - 6

Solve the problem. -The polynomial measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase between 14 and 15 seconds?

Discuss the symmetry of the graph of the polynomial function. -f(x) =

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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