Monitor Projector

# DrDelMath

## College Algebraby MillerSUMMARY

### Chapter 2:   Functions and Graphs

#### Section 2.1: Cartesian Coordinate System

Coordinate Plane

Embedded in the following diagram are some obvious facts about the Cartesian Coordinate system, points in the system, and the Real Number coordinates of those points. Because these facts are obvious, the beginning student has a tendency to overlook them at times when their application might be appropriate. You are advised to study these facts and look for applications.  The following two links provide useful insight into the distance formula.
The Distance Formula at PurpleMath The Distance Formula The following link provides a number of examples of the midpoint formula in action.
The Midpoint Formula at PurpleMath  ### Minimal List of Exercises Page 203.

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 2.1 Exercise Set: 1 - 8, 9, 11, 13, 17, 19.

Formulas

### Minimal List of Exercises Page 212.

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 2.2 Exercise Set: 1 - 14, 15, 17, 19, 20, 21, 22, 23, 25, 26, 30, 31, 37, 39, 41, 43, 45,47, .

#### Section 2.3: Definition of Function

Function: Definition and Notation ### Function Notation You should study the examples in the following Power Point presentation before proceeding
Introduction to Functions

Function: Graph

You should study the examples of several different types of functions as presented in the following Special Topic article.
Functions - Introductory Examples

### Minimal List of Exercises Page 222.

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 2.3 Exercise Set: 3, 5, 9 - 14, 21 - 36.

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#### Sections 2.4& 2.5: Linear Equations in Two Variables and Linear Functions and Some Applications

Review the fundamental information about linear equations in two variables HERE.

Function: Linear

Everything you could possibly want to know about linear functions. HERE

You should study Pages 14 - 17 of this Essay.

### Minimal List of Exercises Page 238 & 254.

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 2.4 Exercise Set (Use Function notation as much as possible): 1 - 38, 51 - 54, 51 - 56, 71, 73, 75, 77, 79,

Section 2.5 Exercise Set (Use Function notation as much as possible):1, 3, 5, 6, 7, 8, 9, 11, 13, 19, 20, 23, 24, 29, 31, 35, 37, 39,41, 43, 45, 47, 51, 53

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#### A Library of Basic Functions and their Graphs

Function: Library Basic Functions                   Function: Transformations

Vertical and Horizontal Translations Absolute Value Translations Absolute Value Translations with Opposite •

### Minimal List of Exercises Page 270.

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 2.5 Exercise Set: 17,19,23,27,53,55,59,65,67,69,81,83,85,87,95,97,141,142,143,144.

#### Section X.Y: Increasing and Decreasing Functions

Function: Increasing, Decreasing, Even, and Odd

### Minimal List of Exercises Page 223.

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 2.2 Exercise Set: 1,3,33,35,37,39,41,43,45,47,49,51,53,55,57,63,73,75.

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#### Section 2.8: Algebra of Functions and Function Composition

Function: Combining

The following picture is essential to understanding composition of functions. Composition of Absolute Value with Quadratic ### 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.