Lesson 1: Domain and Range
Key definitions
Determining domain and range
Simple examples explained
Increasingly difficult examples
Important tip to know
Types of functions
Domain and range of linear functions
Domain and range of quadratic functions
Importance of transformation of quadratic functions
Domain and range of square root functions
Domain and range of cubic functions
Domain and range of reciprocal functions
Domain and range of absolute functions
Domain and range of exponential functions
Lesson 2: Vertical and Horizontal Translations
Definition of a vertical translation
Functional representation
Example illustrated
Definition of a horizontal translation
Functional representation
Example illustrated
Vertical and horizontal translations of 7 parent functions
Reflections of functions
Definitions of reflections in the x – and y- axis
Reflections in the x- and y – axis of 7 different functions
Vertical stretch and compression
Functional representations
Examples illustrated
Horizontal stretch and compression
Functional representations
Examples illustrated
Graphical illustrations of vertical stretch and compression
Graphical illustrations of horizontal stretch and compression
Vertical and horizontal stretch and compression of 7 parent functions
Lesson 3: Combinations of Transformations
Description of general equation
Explanation of a solved example
Inverse of a function
Difference of squares factoring
Definition and functional representation
Table of value representation of a linear example
Graphical representation of a linear example
Inverse notation
Characteristics of an inverse function
Test for functionality of an inverse function
Domain and range of an inverse function explained
Finding the inverse of a function
3 steps for finding the inverse of a function
Solutions to examples explained
Here are a few sample questions for you to practice. The answers are given at the end.