Course Description
This course extends students’ 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.
Topics Covered
- Polynomial Functions
- Unit Outline
- Review of Factoring Techniques | Class Notes | Worksheet
- factoring Sums and Differences of Cubes | Worksheet
- Domain and Range, Interval Notation | Worksheet
- Polynomial and Power Functions | Worksheet
- Characteristics of Polynomial Functions | Worksheet
- Equations and Graphs of Polynomial Functions | Worksheet
- Transformations of Polynomial Functions | Worksheet
- Average Rate of Change | Worksheet
- Instantaneous Rate of Change | Worksheet
- Polynomial Equations and Inequalities
- Rational Functions
- Trigonometric Functions
- Trigonometric Identities
- Exponential and Logarithmic Functions
- Unit Outline
- Exponential Functions and Their Inverses
- Logarithmic and Exponential Equations
- Transformations of Logarithmic Functions
- Properties of Logarithms
- Solving Exponential Equations
- Solving Logarithmic Equations
- Applications of Exponential Functions
- Applications of Logarithmic Functions
- Combinations of Functions