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Contents
Chapter 1: Functions
1.2 Domain and Range
1.3 Rates of Change and Behavior of Graphs
1.4 Composition of Functions
1.5 Transformation of Functions
1.6 Inverse Functions
Chapter 2: Linear Functions
2.1 Linear Functions
2.2 Graphs of Linear Functions
2.3 Modeling with Linear Functions
2.4 Fitting Linear Models to Data
2.5 Absolute Value Functions
Chapter 3: Polynomial and Rational Functions
3.1 Power Functions & Polynomial Functions
3.2 Quadratic Functions
3.3 Graphs of Polynomial Functions
3.4 Factor and Remainder Theorem
3.5 Real Zeros of Polynomials
3.6 Complex Zeros
3.7 Rational Functions
3.8 Inverses and Radical Functions
Chapter 4: Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 Graphs of Exponential Functions
4.3 Logarithmic Functions
4.4 Logarithmic Properties
4.5 Graphs of Logarithmic Functions
4.6 Exponential and Logarithmic Models
4.7 Fitting Exponentials to Data
Chapter 5: Trigonometric Functions of Angles
5.1 Circles
5.2 Angles
5.3 Points on Circles using Sine and Cosine
5.4 The Other Trigonometric Functions
5.5 Right Triangle Trigonometry
Chapter 6: Periodic Functions
6.1 Sinusoidal Graphs
6.2 Graphs of the Other Trig Functions
6.3 Inverse Trig Functions
6.4 Solving Trig Equations
6.5 Modeling with Trigonometric Equations
Chapter 7: Trigonometric Equations and Identities
7.1 Solving Trigonometric Equations with Identities
7.2 Addition and Subtraction Identities
7.3 Double Angle Identities
7.4 Modeling Changing Amplitude and Midline
Chapter 8: Further Applications of Trigonometry
8.1 Non-right Triangles: Law of Sines and Cosines
8.2 Polar Coordinates
8.3 Polar Form of Complex Numbers
8.4 Vectors
8.5 Dot Product
8.6 Parametric Equations
Chapter 9: Conics
9.1 Ellipses
9.2 Hyperbolas
9.3 Parabols and Non-Linear Systems
9.4 Conics in Polar Coordinates
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