1. Lessons
2. Gr12
3. Math
4. Advanced Functions

Advanced Functions

Functions

• Functions Review
• Operations with Functions
• Transformations of Functions
• Domain and Range
• Composite Functions
• Piecewise Functions
• Inverse Functions

Polynomials

• Polynomials
• Characteristics of Polynomials
• Identities
• Families of Polynomials
• Symmetry
• Factored Form
• Transformations
• Sum and Difference of Cubes
• Average Rate of Change
• Instantaneous Rate of Change
• Rates of Change
• Solving Equations
• Solving Inequalities (Tables)
• Solving Inequalities (Graphing)
• Remainder Theorem
• Factor Theorem
• Synthetic Division
• Long Division
• Word Problems

Rationals

• Introduction to Reciprocals
• Transformations
• Reciprocal Linear Functions
• Reciprocal Quadratic Functions
• Rational Functions with Linear Terms
• Solving Rational Equations and Inequalities
• Word Problems

Trigonometry

• Radians
• Identities
• Unit Circle
• Special Angles
• Equivalent Trigonometric Expressions
• Proving Trigonometric Identities
• Solving Trigonometric Equations
• Linear and Angular Velocities
• Rates of Change
• Trigonometric Functions
• Reciprocal Trigonometric Functions
• Transformations
• Word Problems

Exponentials and Logarithms

• Exponential Functions
• Logarithmic Functions
• Identities
• Logarithm Power Law
• Laws of Logarithms
• Solving Exponential Equations
• Solving Logarithmic Equations
• Transformations of Exponential Functions
• Transformations of Logarithmic Functions
• Exponentials - Word Problems
• Logarithms - Word Problems