TABLE OF CONTENTS
Chapter 1 Functions
1.1: Relations and Functions
1.1.1: Relations
1.1.2: Functions
1.1.3: Vertical and Horizontal Line Tests
1.2: Graphs of Functions
1.3: Transformations and the Inverse of a Function
1.4: Algebraic Forms of Functions
1.4.1: Algebraic Forms of Functions
1.4.2: The Meaning of the Algebraic Form of a Function
Chapter 2 Linear Functions
2.1: Linear Patterns, Rate of Change and Slope
2.1.1: Linear Patterns, Rate of Change and Slope
2.1.2: Parallel and Perpendicular Lines
2.2: Linear Functions and Their Graphs
2.2.1: Linear Functions
2.2.2: Graphing Linear Functions
2.3: Algebraic Analysis of Linear Functions
2.4: Transformations of the Linear Function
2.5: The Inverse of a Linear function
2.6: Systems of Linear Equations in Two Variables
2.6.1: Introduction to Systems of Linear Equations in Two Variables
2.6.2: The Substitution Method
2.6.3: The Elimination Method
2.7: Systems of Linear Equations in Three Variables
2.7.1: Introduction to Systems of Linear Equations in Three Variables
2.7.2: Solving Systems of Linear equations in Three Variables
Chapter 3 Polynomial Functions
3.1: Polynomials, Polynomial Functions and their Graphs
3.1.1: Polynomials
3.1.2: Polynomial Functions and their Graphs
3.2: Algebraic Analysis of Polynomial Functions
3.2.1: Algebraic Analysis of Polynomial Functions
3.2.2: The Composition of Polynomial Functions
3.3: The Inverse and Inverse Functions
3.3.1: The Inverse of a Polynomial Function
3.3.2: The Composition of a Function and Its Inverse Function
3.4: The Division of Polynomials and the Remainder Theorem
3.4.1: The Division of Polynomials
3.4.2: Synthetic Division
3.4.3: The Remainder Theorem
3.5: Factoring Polynomials
3.5.1: Factoring Polynomials – GCF and Grouping
3.5.2: Factoring Trinomials by Trial and Error
3.5.3: Factoring Trinomials – The ac-Method
3.5.4: Factoring – Difference of Squares and the Sum and Difference of Cubes
3.6: Algebraic Analysis on Intersection Points
Chapter 4 Quadratic Functions
4.1: Quadratic Functions and Their Graphs
4.2: Transformations of the Quadratic Function
4.3: Algebraic Analysis on the Vertex
4.4: Zeros of a Quadratic Function
4.5: The Inverse of a Quadratic Function
Chapter 5 Exponential Functions
5.1: Exponential Functions and Their Graphs
5.2: Transformations of the Exponential Function
5.2.1: Transformations of the Exponential Function––Vertical and Horizontal Shifts
5.2.2: Transformations of the Exponential Function––Stretches, Compressions and Reflections
5.3: Properties of Exponents
5.3.1: Properties of Exponents: Product, Quotient and Power Rules
5.3.2: Properties of Exponents with Zero and Negative Exponents
5.4: Algebraic Analysis on Intersection Points
5.5 The Inverse of an Exponential Function
Chapter 6 Logarithmic Functions
6.1: Logarithmic Functions and Their Graphs
6.2: Transformations of the Logarithmic Function
6.3: The Inverse of a Logarithmic Function
6.4: Algebraic Analysis on the Properties of Logarithms
6.5: Algebraic Analysis on Intersection Points
Chapter 7 Rational Functions
7.1: Rational Functions and Their Graphs
7.1.1: Rational Functions and Their Graphs
7.1.2: Graphing a Rational Function
7.2: Transformations of the Rational Function
7.3: The Inverse of a Rational Function
7.4: Multiplication and Division of Rational Functions
7.5: Addition and Subtraction of Rational Functions
7.6: Algebraic Analysis on Intersection Points
