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, and Compound Interest
Chapter 5 The Trigonometric Functions
5.1 Trigonometric Functions of Acute Angles
5.2 Applications of Right Triangles
5.3 Trigonometric Functions of Any Angle
5.4 Radians, Arc Length, and Angular Speed
5.5 Circular Functions: Graphs and Properties
5.6 Graphs of Transformed Sine and Cosine Functions
Chapter 6 Trigonometric Identities, Inverse Functions, and Equations
6.1 Identities: Pythagorean and Sum and Difference
6.2 Identities: Cofunction, Double-Angle, and Half-Angle
6.3 Proving Trigonometric Identities
6.4 Inverses of the Trigonometric Functions
6.5 Solving Trigonometric Equations
Chapter 7 Applications of Trigonometry
7.1 The Law of Sines
7.2 The Law of Cosines
7.3 Complex Numbers: Trigonometric Form
7.4 Polar Coordinates and Graphs
7.5 Vectors and Applications
7.6 Vector Operations