DrDelMathCollege Algebra


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
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 1.1 Exercise Set: 9, 10, 11, 17, 20.
Function: Definition and Notation
Function Notation Exercises and Solutions
You should study the examples in the following Power Point presentation before proceeding
Introduction to Functions
You should study the examples of several different types of functions as presented in the following
Special Topic article.
Functions  Introductory Examples
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: 27,29,37,7176, 77,78,79,81,83,91.
Function: Increasing, Decreasing, Even, and Odd
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.
Everything you could possibly want to know about linear functions. HERE
You should study Pages 14  17 of this Essay.
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 (Use Function notation as much as possible): 1,5,9,11,15,25,27,29,35,37,39, 41,43,45,47,59,61,63,65,67.69,71
Section 2.4 Exercise Set (Use Function notation as much as possible).: 5  9, 15, 17, 21,24
Sample Exercises Exercises about Quadratic Functions Solutions to Exercises about Quadratic Functions
These exercises are chosen to practice every form of analysis related to quadratic functions, quadratic equations and inequalitites in both one and two variables. You are expected to following the instructions in the text and then proceed to as much analysis as possible in each case. Use functions, function notation, definition of graph and sketches or computer generated graphs to perform the analysis.
Page 152 Exercise Set: 1  12, 65  82.
Page 324 Exercise Set: 5  8, 13  16, 27  38, 45  48.
Page 391 Exercise Set: 1  28.
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.
The following picture is essential to understanding composition of functions.
Sample Exercises Exercises about Factoring Relative to Composition
Composition of Absolute Value with Quadratic
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.
The following diagram illustrates the relationship between a function and it
inverse.
Think of the red arrows as the rule for a function f and the blue arrows as the rule for its inverse f^{1}
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 2.7 Exercise Set: 1,3,5,7,9,11,13,15,21,23,25,2934.
Completing the Square Examples
Exercises Related to Circles
Solutions for Exercises
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 2.8 Exercise Set: 1,3,5,7,13,15,17,19,21,25,27,31,33,35,37,39,4152,53,55,57,59,67,69,95,96,97.