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DrDelMath

College Algebra
by Blitzer
SUMMARY

Chapter 3:   Polynomial and Rational Functions

Section 3.1: Quadratic Functions (Page 312)

Function: Quadratic

Sample Exercises

Minimal List of Exercises Page 324.

If you understand the previous material you should be able to answer the following questions.
Each of these questions should be answered. Most of these questions are included in the MyMathLab homework requirement. If a particular concept is difficult for you, you should study the related text material and then try to answer some additional questions from the list provided by the department. In each case you are expected to make an honest adult evaluation of your understanding of the concept. Your ability to answer these questions is one tool to help you make that evaluation.

Section 3.1 Exercise Set: 27 - 37, 45 - 48, 63, 65, 67.

 

Section 3.2: Polynomial Functions and Their Graphs (Page 328

Polynomial: Definition: Review

Function: Polynomial: Definition and Elementary Properties


Function: Polynomial: Equivalent Statements


Function: Polynomial: Multiplicities of Zeros

Sample Exercises


Function: Polynomial: Intermediate Value Theorem


Minimal List of Exercises Page 338.

If you understand the previous material you should be able to answer the following questions.
Each of these questions should be answered. Most of these questions are included in the MyMathLab homework requirement. If a particular concept is difficult for you, you should study the related text material and then try to answer some additional questions from the list provided by the department. In each case you are expected to make an honest adult evaluation of your understanding of the concept. Your ability to answer these questions is one tool to help you make that evaluation.
Section 3.2 Exercise Set: 1 - 10, 11 - 14, 19 - 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 37, 39, Parts a, b, and c of 41 - 64.

 

Section 3.3: Dividing Polynomials. Remainder and Factor Theorem (Page 342)

Function: Polynomial: Dividing


Function: Polynomial: Remainder and Factor Theorems

Sample Exercises    Sample Divisions


Minimal List of Exercises Page 350.

If you understand the previous material you should be able to answer the following questions.
Each of these questions should be answered. Most of these questions are included in the MyMathLab homework requirement. If a particular concept is difficult for you, you should study the related text material and then try to answer some additional questions from the list provided by the department. In each case you are expected to make an honest adult evaluation of your understanding of the concept. Your ability to answer these questions is one tool to help you make that evaluation.
Section 3.3 Exercise Set: 1, 3, 5, 6, 7, 8, 13, 14, 15, 16,

 

Section 3.4: Zeros of Polynomial Functions (Page 352)

Function: Polynomial: Real Zeros

Function: Polynomial: Complex Zeros

Sample Exercise

Minimal List of Exercises Page 362.

If you understand the previous material you should be able to answer the following questions.
Each of these questions should be answered. Most of these questions are included in the MyMathLab homework requirement. If a particular concept is difficult for you, you should study the related text material and then try to answer some additional questions from the list provided by the department. In each case you are expected to make an honest adult evaluation of your understanding of the concept. Your ability to answer these questions is one tool to help you make that evaluation.
Section 3.4 Exercise Set Page 362: All of 39 through 52.

 

Section 3.5: Rational Functions and Their Graphs (Page 366)

Function: Rational: Definition


Function: Rational: Vertical Asymptotes


Function: Rational: Horizontal Asymptotes


Function: Rational: Important Facts


Function: Rational: Oblique Asymptotes

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Graphs of Rational Functions

Function: Rational: Sketching the Graph

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Sample Exercises

Sample Exercises

A Good Example

A Really Good Example

Minimal List of Exercises Page 380.

If you understand the previous material you should be able to answer the following questions.
Each of these questions should be answered. Most of these questions are included in the MyMathLab homework requirement. If a particular concept is difficult for you, you should study the related text material and then try to answer some additional questions from the list provided by the department. In each case you are expected to make an honest adult evaluation of your understanding of the concept. Your ability to answer these questions is one tool to help you make that evaluation.
Section 3.5 Exercise Set:1, 3, 5, 7, 9, 10, 11, 12, 13, 14, 21, 23, 25, 27, 29, 31, 33, 35, 49 - 70.

 

 

Section 3.6: Polynomial and Rational Inequalities (Page 384)

Function: Combining

The following picture is essential to understanding composition of functions.

                               Picture of Composition of Functions

Sample Exercises

Minimal List of Exercises Page 279.

If you understand the previous material you should be able to answer the following questions.
Each of these questions should be answered. Most of these questions are included in the MyMathLab homework requirement. If a particular concept is difficult for you, you should study the related text material and then try to answer some additional questions from the list provided by the department. In each case you are expected to make an honest adult evaluation of your understanding of the concept. Your ability to answer these questions is one tool to help you make that evaluation.
Section 2.6 Exercise Set: 1,3,5,7,9,11,13,15,17,19,21,23,27,31,33,37,39,43,47,49,51,53,55,57,59,561, 63,65,67,69,71,101,112,113,114,115.

 

Section 3.7: Modeling Using Variation (Page 394)