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Contents

    1. Introduction
    2. About This Book
    1. Authors
    2. Editors/Reviewers/Contributors
  1. Chapter 1 Prerequisites
      1. Classifying a Real Number
      2. Performing Calculations Using the Order of Operations
      3. Using Properties of Real Numbers
      4. Evaluating Algebraic Expressions
      5. Simplifying Algebraic Expressions
      6. Key Concepts
      7. Exercises
      8. Glossary
      1. Using the Product Rule of Exponents
      2. Using the Quotient Rule of Exponents
      3. Using the Power Rule of Exponents
      4. Using the Zero Exponent Rule of Exponents
      5. Using the Negative Rule of Exponents
      6. Finding the Power of a Product
      7. Simplifying Exponential Expressions
      8. Using Scientific Notation
      9. Key Concepts
      10. Section Exercises
      11. Glossary
      1. Evaluating Square Roots
      2. Using the Product Rule to Simplify Square Roots
      3. Using the Quotient Rule to Simplify Square Roots
      4. Adding and Subtracting Square Roots
      5. Rationalizing Denominators
      6. Using Rational Roots
      7. Key Concepts
      8. Section Exercises
      9. Glossary
      1. Identifying the Degree and Leading Coefficient of Polynomials
      2. Adding and Subtracting Polynomials
      3. Multiplying Polynomials
      4. Performing Operations with Polynomials of Several Variables
      5. Key Equations
      6. Key Concepts
      7. Section Exercises
      8. Glossary
      1. Factoring the Greatest Common Factor of a Polynomial
      2. Factoring a Trinomial with Leading Coefficient 1
      3. Factoring by Grouping
      4. Factoring a Difference of Squares
      5. Factoring the Sum and Difference of Cubes
      6. Factoring Expressions with Fractional or Negative Exponents
      7. Key Concepts
      8. Section Exercises
      9. Glossary
      1. Simplifying Rational Expressions
      2. Multiplying Rational Expressions
      3. Dividing Rational Expressions
      4. Adding and Subtracting Rational Expressions
      5. Simplifying Complex Rational Expressions
      6. Key Concepts
      7. Section Exercises
      8. Glossary
  2. Chapter 2 Equations and Inequalities
      1. Solving Linear Equations in One Variable
      2. Solving a Rational Equation
      3. Key Concepts
      4. Section Exercises
      5. Glossary
      1. Setting up a Linear Equation to Solve a Real-World Application
      2. Using a Formula to Solve a Real-World Application
      3. Key Concepts
      4. Section Exercises
      5. Glossary
      1. Adding and Subtracting Complex Numbers
      2. Multiplying Complex Numbers
      3. Dividing Complex Numbers
      4. Simplifying Powers of i
      5. Key Concepts
      6. Section Exercises
      7. Glossary
      1. Solving Quadratic Equations by Factoring
      2. Using the Square Root Property
      3. Completing the Square
      4. Using the Quadratic Formula
      5. Key Concepts
      6. Section Exercises
      7. Glossary
      1. Solving Equations Involving Rational Exponents
      2. Solving Equations Using Factoring
      3. Solving Radical Equations
      4. Solving an Absolute Value Equation
      5. Solving Other Types of Equations
      6. Key Concepts
      7. Section Exercises
      8. Glossary
      1. Write Solutions Using Interval Notation
      2. Solving Inequalities in One Variable Algebraically
      3. Solving Absolute Value Inequalities
      4. Key Concepts
      5. Section Exercises
      6. Glossary
  3. Chapter 3 Functions
      1. Plotting Ordered Pairs in the Cartesian Coordinate System
      2. Graphing Equations by Plotting Points
      3. Graphing Equations with a Graphing Utility
      4. Finding x-intercepts and y-intercepts
      5. Using the Distance Formula
      6. Using the Midpoint Formula
      7. Key Concepts
      8. Section Exercises
      9. Glossary
      1. Determining Whether a Relation Represents a Function
      2. Finding Input and Output Values of a Function
      3. Determining Whether a Function is One-to-One
      4. Using the Vertical Line Test
      5. Identifying Basic Toolkit Functions
      6. Key Concepts
      7. Section Exercises
      8. Glossary
      1. Finding the Domain of a Function Defined by an Equation
      2. Graphing Piecewise-Defined Functions
      3. Key Concepts
      4. Section Exercises
      5. Glossary
      1. Finding the Average Rate of Change of a Function
      2. Using a Graph to Determine Where a Function Is Increasing, Decreasing, or Constant and to Locate Local Maxima and Local Minima
      3. Key Concepts
      4. Section Exercises
      5. Glossary
      1. Combining Functions Using Algebraic Operations
      2. Create a Function by Composition of Functions
      3. Evaluating Composite Functions
      4. Finding the Domain of a Composite Function
      5. Decomposing a Composite Function into its Component Functions
      6. Key Concepts
      7. Section Exercises
      1. Graphing Functions Using Vertical and Horizontal Shifts
      2. Graphing Functions Using Reflections about the Axes
      3. Determining Even and Odd Functions
      4. Graphing Functions Using Stretches and Compressions
      5. Performing a Sequence of Transformations
      6. Key Concepts
      7. Section Exercises
      8. Glossary
      1. Graphing an Absolute Value Function
      2. Solving an Absolute Value Equation
      3. Key Concepts
      4. Section Exercises
      1. Verifying That Two Functions Are Inverse Functions
      2. Finding Domain and Range of Inverse Functions
      3. Finding and Evaluating Inverse Functions
      4. Finding Inverse Functions and Their Graphs
      5. Key Concepts
      6. Section Exercises
  4. Chapter 4 Linear Functions
      1. Write a Linear Equation in Two Variables
      2. Determining Whether Graphs of Lines Are Parallel or Perpendicular
      3. Writing the Equations of Lines Parallel or Perpendicular to a Given Line
      4. Key Concepts
      5. Section Exercises
      6. Glossary
      1. Representing Linear Functions
      2. Determining Whether a Linear Function Is Increasing, Decreasing, or Constant
      3. Interpreting Slope as a Rate of Change
      4. Writing and Interpreting an Equation for a Linear Function
      5. Graphing Linear Functions
      6. Key Concepts
      7. Section Exercises
      8. Glossary
      1. Building Linear Models from Verbal Descriptions
      2. Modeling a Set of Data with Linear Functions
      3. Key Concepts
      4. Section Exercises
      1. Solving Systems of Equations by Graphing
      2. Solving Systems of Equations by Substitution
      3. Solving Systems of Equations in Two Variables by the Addition Method
      4. Identifying Inconsistent Systems of Equations Containing Two Variables
      5. Expressing the Solution of a System of Dependent Equations Containing Two Variables
      6. Key Concepts
      7. Section Exercises
      8. Glossary
  5. Chapter 5 Polynomial and Rational Functions
      1. Recognizing Characteristics of Parabolas
      2. Understanding How the Graphs of Parabolas are Related to Their Quadratic Functions
      3. Finding the Domain and Range of a Quadratic Function
      4. Determining and Solving Problems Involving the Maximum and Minimum Values of Quadratic Functions
      5. Key Concepts
      6. Section Exercises
      7. Glossary
      1. Identifying Power Functions
      2. Identifying End Behavior of Power Functions
      3. Identifying Polynomial Functions
      4. Identifying the Degree and Leading Coefficient of a Polynomial Function
      5. Key Concepts
      6. Section Exercises
      7. Glossary
      1. Recognizing Characteristics of Graphs of Polynomial Functions
      2. Using Factoring to Find Zeros of Polynomial Functions
      3. Identifying Zeros and Their Multiplicities
      4. Determining End Behavior
      5. Understanding the Relationship between Degree and Turning Points
      6. Graphing Polynomial Functions
      7. Using the Intermediate Value Theorem
      8. Section Exercises
      9. Glossary
      1. Using Long Division to Divide Polynomials
      2. Using Synthetic Division to Divide Polynomials
      3. Key Concepts
      4. Section Exercises
      5. Glossary
      1. Evaluating a Polynomial Using the Remainder Theorem
      2. Using the Factor Theorem to Solve a Polynomial Equation
      3. Using the Rational Zero Theorem to Find Rational Zeros
      4. Finding the Zeros of Polynomial Functions
      5. Using the Linear Factorization Theorem to Find Polynomials with Given Zeros
      6. Using Descartes’ Rule of Signs
      7. Solving Real-World Applications
      8. Key Concepts
      9. Section Exercises
      10. Glossary
      1. Using Arrow Notation
      2. Solving Applied Problems Involving Rational Functions
      3. Finding the Domains of Rational Functions
      4. Identifying Vertical Asymptotes of Rational Functions
      5. Identifying Horizontal Asymptotes of Rational Functions
      6. Graphing Rational Functions
      7. Key Concepts
      8. Section Exercises
      9. Glossary
  6. Chapter 6 Exponential and Logarithmic Functions
      1. Evaluate Exponential Functions
      2. Find the Equation of an Exponential Function
      3. Use Compound-Interest Formulas
      4. Evaluate Functions with base e
      5. Key Concepts
      6. Section Exercises
      7. Glossary
      1. Graphing Exponential Functions
      2. Graphing Transformations of Exponential Functions
      3. Key Equations
      4. Key Concepts
      5. Section Exercises
      1. Converting from Logarithmic to Exponential Form
      2. Converting from Exponential to Logarithmic Form
      3. Evaluating Logarithms
      4. Using Common Logarithms
      5. Using Natural Logarithms
      6. Key Equations
      7. Key Concepts
      8. Section Exercises
      9. Glossary
      1. Identify the Domain of a Logarithmic Function
      2. Graphing Logarithmic Functions
      3. Graphing Transformations of Logarithmic Functions
      4. Key Equations
      5. Key Concepts
      6. Section Exercises
      1. Using the Product Rule for Logarithms
      2. Using the Quotient Rule for Logarithms
      3. Expanding Logarithmic Expressions
      4. Condensing Logarithmic Expressions
      5. Using the Change-of-Base Formula for Logarithms
      6. Key Equations
      7. Key Concepts
      8. Section Exercises
      9. Glossary
      1. Using Like Bases to Solve Exponential Equations
      2. Using Logarithms to Solve Exponential Equations
      3. Using the Definition of a Logarithm to Solve Logarithmic Equations
      4. Using the One-to-One Property of Logarithms to Solve Logarithmic Equations
      5. Solving Applied Problems Using Exponential and Logarithmic Equations
      6. Key Equations
      7. Key Concepts
      8. Section Exercises
      9. Glossary
      1. Modeling Exponential Growth and Decay
      2. Using Newton’s Law of Cooling
      3. Using Logistic Growth Models
      4. Choosing an Appropriate Model for Data
      5. Expressing an Exponential Model in Base e
      6. Key Equations
      7. Key Concepts
      8. Section Exercises
      9. Glossary
      1. Practice Test
    1. Full Resource Adaptations
    2. Chapter-Specific Changes