Summary: Intermediate Algebra: Graphs and Functions, Third Edition, designed specifically for courses that incorporate early graphing and emphasize problem solving and real-life applications. The use of calculators is integrated throughout the text, but remains optional. The authors' proven approach combines proven pedagogy, innovative features, high-interest applications, and a wide range of technology options that add flexibility for instructors and enhance the learning pro...show morecess.
Selected examples are presented with side-by-side algebraic, graphical, and numerical solutions , a format that shows students how different solution methods can be used to arrive at the same answer.
Each chapter now opens with The Big Picture, an objective based overview of the chapter concepts and Key Terms, a list of the mathematical vocabulary integral to the learning objectives.
Every section opens with "What you should learn" objectives to focus students on the main concepts, and "Why you should learn it," highlighting a relevant, real-life application to motivate student learning.
Collaborate! appearing at the end of selected sections, gives students the opportunity to think, talk, and write about mathematics in a group environment. These activities can be assigned for small group work or for whole class discussions.
Looking Further, at the end of each section exercise set, expands upon mathematical concepts presented in the section. These multi-part explorations and applications enhance the development of critical-thinking and problem-solving skills.
Exercise Sets are grouped into four categories: Developing Skills, Solving Problems (applications), Explaining Concepts (critical thinking), Ongoing Review (review of skills and concepts from previous sections and chapters).
Review Exercises at the end of every chapter have been grouped into two categories: Reviewing Skills, which are correlated by section and objective, and Solving Problems.
Hostetler, Robert P. : The Pennsylvania State University
Neptune, Carolyn F. : Johnson County Community College
View Table of Contents
1. Concepts of Elementary Algebra
1.1 Algebraic Expressions 1.2 Operations with Polynomials 1.3 Factoring Polynomials 1.4 Factoring Trinomials 1.5 Solving Linear Equations 1.6 Solving Equations by Factoring
2. Introduction to Graphs and Functions
2.1 Describing Data Graphically 2.2 Graphs of Equations 2.3 Slope: An Aid to Graphing Lines 2.4 Relations, Functions, and Function Notation 2.5 Graphs of Functions 2.6 Transformations of Functions
3. Linear Functions, Equations, and Inequalities
3.1 Writing Equations of Lines 3.2 Applications of Linear Equations 3.3 Business and Scientific Problems 3.4 Linear Inequalities in One Variable 3.5 Absolute Value Equations and Inequalities
4. Systems of Linear Equations and Inequalities
4.1 Systems of Linear Equations in Two Variables 4.2 Systems of Linear Equations in Three Variables 4.3 Matrices and Linear Systems 4.4 Determinants and Linear Systems 4.5 Linear Inequalities in Two Variables
5. Radicals and Complex Numbers
5.1 Integer Exponents and Scientific Notation 5.2 Rational Exponents and Radicals 5.3 Simplifying and Combining Radicals 5.4 Multiplying and Dividing Radicals 5.5 Solving Radical Equations 5.6 Complex Numbers
6. Quadratic Functions, Equations, and Inequalities
6.1 The Factoring and Square Root Methods 6.2 Completing the Square 6.3 The Quadratic Formula 6.4 Applications of Quadratic Equations 6.5 Graphs of Quadratic Functions 6.6 Quadratic Inequalities in One Variable
7. Rational Expressions and Rational Functions
7.1 Simplifying Rational Expressions 7.2 Multiplying and Dividing Rational Expressions 7.3 Adding and Subtracting Rational Expressions 7.4 Dividing Polynomials 7.5 Solving Rational Equations 7.6 Graphing Rational Functions 7.7 Rational Inequalities in One Variable
8. More About Functions and Relations
8.1 Combinations of Functions 8.2 Inverse Functions 8.3 Variation and Mathematical Models 8.4 Polynomial Functions and Their Graphs 8.5 Circles 8.6 Ellipses and Hyperbolas 8.7 Parabolas 8.8 Nonlinear Systems of Equations
9. Exponential and Logarithmic Functions and Equations
9.1 Exponential Functions and Their Graphs 9.2 Logarithmic Functions and Their Graphs 9.3 Properties of Logarithms 9.4 Solving Exponential and Logarithmic Equations 9.5 Exponential and Logarithmic Applications
10. Sequences, Series, and the Binomial Theorem
10.1 Sequences and Series 10.2 Arithmetic Sequences 10.3 Geometric Sequences and Series 10.4 The Binomial Theorem
Appendix A. Real Numbers
A.1 Operations with Real Numbers A.2 Properties of Real Numbers
Appendix B. Mathematical Modeling
B.1 Modeling Data with Linear Functions B.2 Modeling Data with Quadratic Functions B.3 Modeling Data with Exponential and Logarithmic Functions
Appendix C. Linear Programming
Appendix D. Counting Principles and Probability
D.1 Counting Principles D.2 Probability
Appendix E. Introduction to Logic
E.1 Statements and Truth Tables E.2 Implications, Quantifiers, and Venn Diagrams E.3 Logical Arguments
Appendix F. Further Concepts in Geometry
F.1 Exploring Congruence and Similarity F.2 Angles
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