Advanced Functions (MHF4U)
Chapter 1 – Functions
- Lesson 1.1 – Recap Functions’ Theory video
- Lesson 1.2 – Functions’ Verification and Absolute Value Function video notes
- Lesson 1.3 – Graphing Functions video notes
- Lesson 1.4 – Inverse Functions video notes
- Lesson 1.5 – Piecewise Functions video notes
- Lesson 1.6 – Operation of Functions video
Chapter 2 – Understanding Rates of Change
- Lesson 2.1 – Average Rate of Change video notes
- Lesson 2.2 – Instantaneous Rates of Change video notes
- Lesson 2.3 – Applications of Rates of Change video notes
Chapter 3 – Polynomial Functions
- Lesson 3.1 – Characteristics of Polynomial Functions video notes
- Lesson 3.2 – Characteristics of Polynomial Functions in Factored Form video notes
- Lesson 3.3 – Transformations of Cubic and Quartic Functions video notes
- Lesson 3.4 – Dividing Polynomials video notes
- Lesson 3.5 – Factoring Polynomials video notes
Chapter 4 – Polynomial Equations and Inequalities
- Lesson 4.1 – Solving Polynomial Equations video notes
- Lesson 4.2 – Solving Linear Inequalities video notes
- Lesson 4.3 – Solving Polynomial Inequalities video notes
- Lesson 4.4 – Rates of Change in Polynomial Functions video notes
Chapter 5 – Rational Functions, Equations and Inequalities
- Lesson 5.1 – Graph of Reciprocal Functions video notes
- Lesson 5.2 – Exploring Quotients of Polynomial Functions video notes
- Lesson 5.3 – Solving Rational Equations video notes
- Lesson 5.4 – Solving Rational Inequalities video notes
- Lesson 5.5 – Rates of Change in Rational Functions video notes
Chapter 6 – Trigonometric Functions
- Lesson 6.1 – Radian Measure video notes
- Lesson 6.2 – Radian Measure and Angles on the Cartesian Plane video notes
- Lesson 6.3 – Graphs of Primary Trigonometric Functions video notes
- Lesson 6.4 – Transformation of Trigonometric Functions video notes
- Lesson 6.5 – Modeling with Trigonometric Functions video notes
Chapter 7 – Trigonometric Identities and Equations
- Lesson 7.1 – Equivalent Trigonometric Functions and Compound Angles’ Formula video notes
- Lesson 7.2 – Double Angle Formulars – video notes
- Lesson 7.3 – Proving Trigonometric Identities – video notes
- Lesson 7.4 – Solving Linear Trigonometric Equations – video notes
- Lesson 7.5 – Solving Quadratic Trigonometric Equations – video notes
Chapter 8 – Exponential and Logarithmic Functions
- Lesson 8.1 – Logarithmic Functions video notes
- Lesson 8.2 – Laws of Logarithms video notes
- Lesson 8.3 – Solving Exponential Equations video notes
- Lesson 8.4 – Solve Logarithmic Equations video notes
- Lesson 8.5 – Applications of Exponential and Logarithmic Functions video notes
Chapter 9 – Combination and Composition of Functions