Chapter 1: Functions – Characteristics and Properties
1.1: Functions
1.2: Exploring Absolute Value
1.3: Properties of Functions and Graphs
1.4: Sketching Graphs of Functions
1.5: Inverse Relations
1.6: Piecewise Functions
1.7: Exploring Operations with Functions
Chapter 2: Functions – Understanding Rates of Change
2.1: Average Rate of Change
2.2: Instantaneous Rate of Change from Tables and Graphs
2.3: Using Rates of Change to make a Graphical Model
2.4: Solving Problems with Rates of Change
Chapter 3: Polynomial Functions
3.1: Exploring Polynomial Functions
3.2: Characteristics of Polynomial Functions
3.3: Characteristics in Factored Form
3.4: Transformations of Cubic and Quartic Functions
3.5: Factoring Polynomials
3.6: Factoring Sum or Difference of Cubes
Chapter 4: Polynomial Equations and Inequalities
4.1: Solving Polynomial Equations
4.2: Solving Linear Inequalities
4.3: Solving Polynomial Inequalities
4.4: Rates of Change in Polynomial Functions
Chapter 5: Rational Functions, Equations, and Inequalities
5.1: Graphs of Reciprocal Functions
5.2: Quotients of Reciprocal Functions
5.3: Graphs of Rational Functions of the form (ax+b)/(cx+d)
5.4: Solving Rational Equations
5.5: Solving Rational Inequalities
5.6: Rates of Change in Rational Functions
Chapter 6: Trigonometric Functions
6.1: Radian Measure
6.2: Radian Measure and Angles on the Cartesian Plane
6.3: Graphs of Trigonometric Functions
6.4: Transformations of Trigonometric Functions
6.5: Graphs of Reciprocal Trigonometric Functions
6.6: Modelling with Trigonometric Functions
6.7: Rates of Change in Trigonometric Functions
Chapter 7: Trigonometric Identities and Equations
7.1: Equivalent Trigonometric Functions
7.2: Compound Angle Formulas
7.3: Double Angle Formulas
7.4: Proving Trigonometric Identities
7.5: Solving Linear Trigonometric Equations
7.6: Solving Quadratic Trigonometric Equations
Chapter 8: Exponential and Logarithmic Functions
8.1: Exploring the Logarithmic Function
8.2: Transformations of Logarithmic Functions
8.3: Evaluating Logarithms
8.4: Laws of Logarithms
8.5: Solving Exponential Equations
8.6: Solving Logarithmic Equations
8.7: Solving Problems with Exponential and Logarithmic Equations
8.8: Rates of Change in Exponential and Logarithmic Equations
Chapter 9: Combinations of Functions
9.1: Exploring Combinations of Functions
9.2: Combining Two Functions – Sums and Differences
9.3: Combining Two Functions – Products
9.4: Combining Two Functions – Quotients
9.5: Combining Two Functions – Composition of Functions
Link to Textbook: Advanced Functions 12 by Chris Kirkpatrick