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Grades 9/10/11 Introduction to Functions
Function notation. Domain and range. Transformations of functions. Inverses of functions. Inequalities, absolute values, and reciprocals.
This is one of seven strands of the CEMC Grade 9/10/11 courseware. The other strands and more information about this courseware is available on the Grade 9/10/11 homepage.
Units
Unit 1: Representing Functions
Unit 2: Transforming and Graphing Functions
Unit 3: Inverses of Functions
In this lesson, the concept of the inverse of a function is introduced. Inverses are constructed and analyzed for functions described using tables, mapping diagrams, or graphs. We also take a first look at inverses of functions described algebraically.
In this lesson, inverses of linear functions are calculated. The relationship between the domain and range of a function and its inverse is also explored.
In this lesson, we study functions whose inverses are not functions, with a special focus on quadratic functions and their inverses.
All of the pencil and paper practice exercises, answers, and solutions for this unit are reproduced here.
This is a collection of additional, and sometimes challenging, problems that extend the material covered in this unit, connect material from different lessons, and further explore real-world applications.