Grade: 12

Level: University

Prerequisite: MCR3U

*This course extends studentsâ€™ experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric functions; develop techniques for combining functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended both for students taking the Calculus and Vectors course as a prerequisite for a university program and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs.*

We will be using the workbook Advanced Functions 12 by McGraw-Hill Ryerson. Treat your textbook well — a replacement costs $100.

### Exam Review

### Topics Covered

- Polynomial Functions
- Polynomial Equations and Inequalities
- Rational Functions
- Trigonometric Functions
- Trigonometric Identities
- Exponential and Logarithmic Functions
- Exponential Functions and Their Inverses
- Logarithmic and Exponential Equations
- Transformations of Logarithmic Functions
- Power Rule for Logarithms
- Product/Quotient Rules for Logarithms
- Solving Exponential Equations
- Solving Logarithmic Equations
- Applications of Exponential Functions
- Applications of Logarithmic Functions

- Combinations of Functions