Graphical Approach to College Algebra, A

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  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 1/1/2003
  • Publisher: Addison Wesley
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This major revision reflects the authors combined years of experience as classroom teachers, and underscores their enthusiasm for the use of the graphing calculator as a teaching tool. Their approach is to present the various classes of functions, examine the nature of its graph, and discuss the analytic solution of equations based on that function. Then, graphical support for the solution is provided with a graphing calculator. Using graphing technology to study math has opened up a new area of error analysis, so the authors have included a What Went Wrong feature to discuss typical errors. Throughout, the accent is on using both analytical and graphical methods to solve interesting applications for various functions. The new edition also includes a reference chapter on basic algebraic concepts for those needing a refresher course.

Table of Contents

Linear Functions, Equations, and Inequalities
Real Numbers and Coordinate Systems
Introduction to Relations and Functions
Linear Functions
Equations of Lines and Linear Models
Linear Equations and Inequalities
Applications of Linear Functions
Analysis of Graphs of Functions
Graphs of Basic Functions and Relations; Symmetry
Vertical and Horizontal Shifts of Graphs
Stretching, Shrinking, and Reflecting Graphs
Absolute Value Functions: Graphs, Equations, Inequalities, and Applications
Piecewise-Defined Functions
Operations and Composition
Polynomial Functions
Complex Numbers
Quadratic Functions and Graphs
Quadratic Equations and Inequalities
Further Applications of Quadratic Functions and Models
Higher-Degree Polynomial Functions and Graphs
Topics in the Theory of Polynomial Functions (I)
Topics in the Theory of Polynomial Functions (II)
Polynomial Equations and Inequalities
Further Applications and Models
Rational, Power, and Root Functions
Rational Functions and Graphs
More on Graphs of Rational Functions
Rational Equations, Inequalities, Applications, and Models
Functions Defined by Powers and Roots
Equations, Inequalities, and Applications Involving Root Functions
Inverse, Exponential, and Logarithmic Functions
Inverse Functions
Exponential Functions
Logarithms and Their Properties
Logarithmic Functions
Exponential and Logarithmic Equations and Inequalities
Further Applications and Modeling with Exponential and Logarithmic Functions
Analytic Geometry
Circles and Parabolas
Ellipses and Hyperbolas
Summary of the Conic Sections
Parametric Equations
Matrices and Systems of Equations and Inequalities
Systems of Equations
Solution of Linear Systems by the Echelon Method
Solution of Linear Systems by Row Transformations
Matrix Properties and Operations
Determinants and Cramer's Rule
Solution of Linear Systems
Systems of Inequalities and Linear Programming
Partial Fractions
Further Topics in Algebra
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Theorem
Mathematical Induction
Counting Theory
R. Reference: Basic Algebraic Concepts and Geometry Formulas
Review of Exponents and Polynomials
Review of Factoring
Review of Rational Expressions
Review of Negative and Rational Exponents
Review of Radicals
Review of Geometry Formulas
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