Table of Contents

1 Linear Functions and Systems
 Domain and Range of a Function
 Domain and Range from Function Graphs
 Increasing and Decreasing Intervals of a Function
 Slopes and Intercepts of Linear Functions
 Function Transformations: Dilation
 Function Transformations: Translations
 Graphs of Piecewise Functions
 Calculations with Arithmetic Sequences
 Using Arithmetic Sequence Formulas
 Arithmetic Series
 Solving Linear Equations Using Function Graphs
 Solving Systems of Linear Equations Graphically
 Solving Systems of Linear Equations Using Elimination
 Solving Systems of Linear Inequalities
 Applications on Systems of Inequalities
 Systems of Linear Equations in Three Variables
 Solving a System of Two Equations Using a Matrix Inverse
 Solving a System of Three Equations Using a Matrix Inverse

2 Quadratic Functions and Equations
 Quadratic Functions in Different Forms
 Features of Quadratic Functions
 Graphing Quadratic Functions
 Factoring Monic Quadratics
 Factoring Nonmonic Quadratics
 Difference of Two Squares
 Solving Quadratic Equations: Taking Square Roots
 Equating, Adding, and Subtracting Complex Numbers
 Multiplying Complex Numbers
 Solving Quadratic Equation with Complex Roots
 Completing the Square
 Solving Quadratics: Completing the Square
 Solving Quadratic Equations: Quadratic Formula
 Discriminants of Quadratics
 LinearQuadratic Systems of Equations

3 Polynomial Functions
 Degree and Coefficient of Polynomials
 Simplifying Expressions: Combining Like Terms
 Polynomial Functions
 Pascal's Triangle and the Binomial Theorem
 The Binomial Theorem
 Polynomial Long Division without Remainder
 Remainder and Factor Theorem with Synthetic Division
 Zeros of Polynomial Functions
 Real and Complex Roots of Polynomials
 Graphs of Polynomial Functions
 Rational Zeros Theorem
 Combining Transformations
 4 Rational Functions
 Topic 5 Rational Exponents and Radical Functions

6 Exponential and Logarithmic Functions
 Graphs of Exponential Functions
 Applications of Exponential Functions
 Exponential Growth and Decay
 Compound Interest
 Evaluating Logarithms
 Simplifying Natural Logarithmic Expressions
 Natural Logarithmic Equations
 Graphs of Logarithmic Functions
 Laws of Logarithms
 Converting between Logarithmic and Exponential Forms
 Solving Exponential Equations Using Logarithms
 Logarithmic Equations with Different Bases
 Finding the nth Term of a Geometric Sequence
 Sum of a Finite Geometric Sequence

7 Trigonometric Functions
 The Cosine Ratio
 The Sine Ratio
 Evaluating Trigonometric Functions Using Pythagorean Identities
 Trigonometric Ratios in Right Triangles
 Trigonometric Functions Values with Reference Angles
 Conversion between Radians and Degrees
 Arc Lengths and Sectors
 Exact Values of Trigonometric Ratios
 Amplitude and Period of Trigonometric Functions
 The Graphs of Reciprocal Trigonometric Functions
 Graphs of Trigonometric Functions
 8 Trigonometric Equations and Identities
 9 Conic Sections

10 Matrices
 Scalar Multiplication of Matrices
 Adding and Subtracting Matrices
 Linear Transformations in Planes: Scaling
 Matrix Multiplication
 Properties of Matrix Multiplication
 Adding and Subtracting Vectors in 2D
 Magnitude of a 2D Vector
 Linear Transformations in Planes: Reflection
 Inverse of a 2x2 Matrix
 TwobyTwo Determinants
 Using Determinants to Calculate Areas
 11 Data Analysis and Statistics
 12 Probability