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The Nelson Advanced Functions - Student Textbook supports the Ontario Ministry of Education

Author Team: Barbara Alldred, Crystal Chilvers, Beverly Farahani, Kristina Farentino, Angelo Lillo,
Ian Macpherson, John Rodger, Susanne Trew

Chapter 1: Functions: Characteristics and Properties
1.1 Functions
1.2 Exploring Absolute Value
1.3 Properties of Graphs of Functions
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 Determining Average Rate of Change
2.2 Estimating Instantaneous Rates of Change form Tables of Values and Equations
2.3 Exploring Instantaneous Rates of Change Using Graph
2.4 Using Rates of Change to Create a Graphical Model
2.5 Solving Problems Involving Rates of Change

Chapter 3: Polynomial Functions
3.1 Exploring Polynomial Functions
3.2 Characteristics of Polynomial Functions
3.3 Characteristics of Polynomial Functions in Factored Form
3.4 Transformations of Cubic and Quartic Functions
3.5 Dividing Polynomials
3.6 Factoring Polynomials
3.7 Factoring a 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 Exploring Quotients of Polynomial Functions
5.3 Graphs of Rational Functions of the Form Form f (x) = 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
6.2 Radian Measure and Angles on the Cartesian Plane
6.3 Exploring Graphs of the Primary Trigonometric Functions
6.4 Transformation of Trigonometric Functions
6.5 Exploring Graphs of the 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 Exploring Equivalent Trigonometric Functions
7.2 Compound Angle Formulas
7.3 Double Angle Formulas
7.4 Proving Trigonometric Identities
7.5 Solving Linear Trigonometric Equations

Chapter 8: Exponential and Logarithmic Functions
8.1 Exploring the Logarithmic Functions
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 Functions
8.8 Rates of Change in Exponential and Logarithmic Functions

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 Exploring Quotients of Functions
9.5 Composition of Functions
9.6 Techniques for Solving Equations and Inequalities
9.7 Modelling with Functions

Each chapter has Review, Self-Test, and Task (or Math Project).
Answers are at the end of book.
Hardcover, 690 pages, book size: 21 cm x 26 cm x 3 cm