MHF4U 
Advanced Functions  Ontario Curriculum
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Course Notes  Worksheets, Practice Tests, and Videos 
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 [ Handout ] [ Solutions ] 

1.5 Inverse Functions 

1.6 Piecewise Functions 

1.7 Exploring Operations with Functions 

Chapter 1 Review 

Chapter 2 Functions: Understanding Rates of Change  
2.1 Determining Average Rate of Change 

2.2 Estimating Instantaneous Rates of Change 

Chapter 2 Review 

Chapter 3 Polynomial Functions  
3.1 Exploring Polynomial Functions 

3.2 Characteristics of Polynomial Functions [ Handout ] [ Solutions ] 

3.3 Characteristics of Polynomial Functions in Factored Form [ Handout ] [ Solutions ] 

3.4 Transformations of Cubic and Quartic Functions [ Handout ] [ Solutions ] 
[ Video 1 ] [ Video 2 ] [ Video 3 ] [ Video 4 ] [ Video 5 ] [ Video 6 ] 
3.5 Dividing Polynomials [ Handout ] [ Solutions ] 

3.6 Factoring Polynomials [ Handout ] [ Solutions ] 
[ Video 1 ] [ Video 2 ] [ Video 3 ] [ Video 4 ] [ Video 5 ] [ Video 6 ] [ Video 7 ] 
3.7 Factoring a Sum or a Difference of Cubes [ Handout ] [ Solutions ] 

Chapter 3 Review [ Review ] [ Solutions ] 
[ Practice Quizzes 1 ] [ Practice Quizzes 2 ] [ Test 1 ] [ Test 2 ] [ Test 3 ] [ Test 4 ] [ Test 5 ] [ Test 6 ] 
Chapter 4 Polynomial Equations and Inequalities  
4.1 Solving Polynomial Equations 
[ Video 1 ] [ Video 2 ] [ Video 3 ] [ Video 4 ] [ Video 5 ] [ Video 6 ] 
4.2 Solving Linear Inequalities [ Handout ] [ Solutions ] 

4.3 Solving Polynomial Inequalities [ Handout ] [ Solutions ] 
[ Video 1 ] [ Video 2 ] [ Video 3 ] [ Video 4 ] [ Video 5 ] [ Video 6 ] 
Chapter 4 Review 
[ Practice Quizzes ] [ Test 1 ] [ Test 2 ] [ Test 3 ] [ Test 4 ] [ Test 5 ] [ Test 6 ] 
Chapter 5 Rational Functions 

5.1 Graphs of Reciprocal Functions [ Handout ] [ Solutions ] 

5.2 Exploring Quotients of Polynomial Functions [ Handout ] [ Solutions ] 
[ Video 1 ] [ Video 2 ][ Video 3 ] [ Video 4 ] [ Video 5 ] [ Video 6 ] [ Video 7 ] 
5.3 Graphs of Rational Functions of the form f(x)=(ax+b)/(cx+d) [ Handout ] [ Solutions ] 

5.4 Solving Rational Equations [ Handout ] [ Solutions ] 
[ Video 1 ] [ Video 2 ] [ Video 3 ] [ Video 4 ] [ Video 5 ] [ Video 6 ] [ Video 7 ] [ Video 8 ] [ Video 9 ] 
5.5 Solving Rational Inequalities [ Handout ] [ Solutions ] 
[ Video 1 ] [ Video 2 ] [ Video 3 ] [ Video 4 ] [ Video 5 ] [ Video 6 ] [ Video 7 ] [ Video 8 ] [ Video 9 ] [ Video 10 ] 
Chapter 5 Review

[ Test 1 ] [ Test 2 ] [ Test 3 ] [ Test 4 ] [ Test 5 ] [ Test 6 ] 
Chapter 6 Trigonometric Functions 

6.1 Radian Measure [ Handout ] [ Solutions ] 

6.2 Radian Measure and Angles on the Cartesian Plane [ Handout ] [ Solutions ] 

6.3 Exploring Graphs of the Primary Trigonometric Functions [ Handout ] [ Solutions ] 

6.4 Transformations of Trigonometric Functions [ Handout ] [ Solutions] 
[ Classwork 1 ][ Solutions 1 ] [ Classwork 2 ][ Solutions 2 ] 
6.5 Exploring Graphs of the Reciprocal Trigonometric Functions [ Handout ] [ Solutions ] 

6.6 Modelling with Trigonometric Functions [ Handout ] [ Solutions ] 

Chapter 6 Review

[ Practice Quizzes ] 
Chapter 7 Trigonometric Identities and Equations 

7.2 Compound Angle Formulas [ Handout ] [ Solutions ] 

7.3 Double Angle Formulas [ Handout ] [ Solutions ] 

7.4 Proving Trigonometric Identities [ Handout ] [ Solutions ] 

7.5 Solving Linear Trigonometric Equations [ Handout ] [ Solutions ] 

7.6 Solving Quadratic Trigonometric Equations [ Handout ] [ Solutions ] 

7.7 Inverse Trigonometric Functions [ Handout ] [ Solutions ] 

Chapter 7 Review


Exponential Functions 

Exponential Functions [ Handout ] [ Solutions ] 

Chapter 8 Logarithmic Functions 

8.1 Exploring the Logarithmic Function [ Handout ] [ Solutions ] 

8.2 Transformations of Logarithmic Functions [ Handout ] [ Solutions ] 

8.3 Evaluating Logarithms [ Handout ] [ Solutions ] 

8.4 Laws of Logarithms [ Handout ] [ Solutions ] 

8.5 Solving Exponential Equations [ Handout ] [ Solutions ] 

8.6 Solving Logarithmic Equations [ Handout ] [ Solutions ] 

8.7 Solving Problems with Exponential and Logarithmic Functions [ Handout ] [ Solutions ] 

Chapter 8 Review  
Chapter 9 Combinations of Functions 

9.1 Exploring Combinations of Functions [ Handout ] [ Solutions ] 

9.2 Combining Two Functions: Sums and Differences [ Handout ] [ Solutions ] 

9.3 Combining Two Functions: Products [ Handout ] [ Solutions ] 

9.4 Exploring Quotients of Functions [ Handout ] [ Solutions ] 

9.5 Compositions of Functions [ Handout ] [ Solutions ] 

Chapter 9 Review [ Review ] 
[ Practice Quizzes ] 
Final Exam Review 

[ Review Part 1 ] [ Review Part 2 ] 
