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With a visual, graphical approach that emphasizes connections among concepts, this text helps readers make the most of their study time. The authors show how different mathematical ideas are tied together through their zeros, solutions, and "x"-intercepts theme; side-by-side algebraic and graphical solutions; calculator screens; and examples and exercises. By continually reinforcing the connections among various mathematical concepts as well as different solution methods, the authors lead readers to the ultimate goal of mastery and success. Basic Concepts of Algebra. Graphs, Functions, and Models. Functions, Equations, and Inequalities. Polynomial and Rational Functions. Exponential and Logarithmic Functions. Systems of Equations and Matrices. Conic Sections. Sequences, Series, and Combinatorics. For all readers interested in college algebra.
Table of Contents
Chapter R: Basic Concepts of Algebra R.1 The Real-Number System R.2 Integer Exponents, Scientific Notation, and Order of Operations R.3 Addition, Subtraction, and Multiplication of Polynomials R.4 Factoring R.5 Rational Expressions R.6 Radical Notation and Rational Exponents R.7 The Basics of Equation Solving Chapter 1: Graphs, Functions, and Models 1.1 Introduction to Graphing 1.2 Functions and Graphs 1.3 Linear Functions, Slope, and Applications 1.4 Equations of Lines and Modeling 1.5 More on Functions 1.6 The Algebra of Functions 1.7 Symmetry and Transformations Chapter 2: Functions, Equations, and Inequalities 2.1 Linear Equations, Functions, and Models 2.2 The Complex Numbers 2.3 Quadratic Equations, Functions, and Models 2.4 Analyzing Graphs of Quadratic Functions 2.5 More Equation Solving 2.6 Solving Linear Inequalities Chapter 3: Polynomial and Rational Functions 3.1 Polynomial Functions and Models 3.2 Graphing Polynomial Functions 3.3 Polynomial Division; The Remainder and Factor Theorems 3.4 Theorems about Zeros of Polynomial Functions 3.5 Rational Functions 3.6 Polynomial and Rational Inequalities 3.7 Variation and Applications Chapter 4: Exponential and Logarithmic Functions 4.1 Inverse Functions 4.2 Exponential Functions and Graphs 4.3 Logarithmic Functions and Graphs 4.4 Properties of Logarithmic Functions 4.5 Solving Exponential and Logarithmic Equations 4.6 Applications and Models: Growth and Decay; Compound Interest Chapter 5: Systems of Equations and Matrices 5.1 Systems of Equations in Two Variables 5.2 Systems of Equations in Three Variable