Algebra II Essentials For Dummies

Algebra II Essentials For Dummies®
Contents at a Glance
Table of Contents
Introduction
About This Book
Conventions Used in This Book
Foolish Assumptions
Icons Used in This Book
Where to Go from Here
Chapter 1: Making Advances in Algebra
Bringing Out the Best in Algebraic Properties
Enumerating Exponential Rules
Assigning Factoring Techniques
Chapter 2: Lining Up Linear Equations
Getting the First Degree: Linear Equations
Lining Up Linear Inequalities
Absolute Value: Keeping Everything in Line
Chapter 3: Making Quick Work of Quadratic Equations
Using the Square Root Rule When Possible
Solving Quadratic Equations by Factoring
The Quadratic Formula to the Rescue
Promoting Quadratic-like Equations
Solving Quadratic Inequalities
Chapter 4: Rolling Along with Rational and Radical Equations
Rounding Up Rational Equations and Eliminating Fractions
Reasoning with Radicals
Dealing with Negative Exponents
Fiddling with Fractional Exponents
Chapter 5: Forging Function Facts
Describing Function Characteristics
Determining Domain and Range
Counting on Even and Odd Functions
Taking on Functions One-to-One
Composing Functions
Getting Into Inverse Functions
Chapter 6: Graphing Linear and Quadratic Functions
Identifying Some Graphing Techniques
Mastering the Graphs of Lines
Coming to Terms with the Standard Form of a Quadratic
Eyeing a Quadratic’s Intercepts
Finding the Vertex of a Parabola
Sketching a Graph from the Available Information
Chapter 7: Pondering Polynomials
Sizing Up a Polynomial Equation
Identifying Intercepts and Turning Points
Determining When a Polynomial Is Positive or Negative
Solving Polynomial Equations
Finding Roots Synthetically
Chapter 8: Being Respectful of Rational Functions
Examining Rational Functions
Assigning Roles to Asymptotes
Discounting Removable Discontinuities
Looking at Limits of Rational Functions
Chapter 9: Examining Exponential and Logarithmic Functions
Computing Exponentially
Getting to the Base of Exponential Functions
Exponential Equation Solutions
Looking into Logarithmic Functions
Solving Equations Containing Logs
Chapter 10: Getting Creative with Conics
Posing with Parabolas
Circling Around a Conic
Getting Eclipsed by Ellipses
Getting Hyped for Hyperbolas
Chapter 11: Solving Systems of Equations
Looking at Solutions Using the Standard Linear-Systems Form
Solving Linear Systems by Graphing
Using Elimination (Addition) to Solve Systems of Equations
Finding Substitution to Be a Satisfactory Substitute
Taking on Systems of Three Linear Equations
Increasing the Number of Equations
Intersecting Parabolas and Lines
Crossing Parabolas with Circles
Chapter 12: Taking the Complexity Out of Complex Numbers
Simplifying Powers of i
Getting More Complex with Complex Numbers
Unraveling Complex Solutions in Quadratic Equations
Investigating Polynomials with Complex Roots
Chapter 13: Ten (Or So) Special Formulas
Using Multiplication to Add
Factoring in Factorial
Picking Out Permutations
Collecting Combinations
Adding n Integers
Adding n Squared Integers
Adding Odd Numbers
Going for the Geometric
Calculating Compound Interest
Index