ZIP
Precalculus: Dynagraphs
Objectives
- Students will utilize the input and output of a function to determine its rule.
- Students will discover conditions that would restrict a function's domain.
- Students will understand that a composition utilizes the output of the inside function as the input of the outside function.
- Students will understand the special relationship between two inverse functions and their composition.
Vocabulary
- composite functions
- composition
- domain
- inverse
- range
- restricted domain
About the Lesson
This lesson involves using a dynagraph to explore the relationship between the input and the output of a given function.
As a result, students will:
- Discover how a composition utilizes the output of the inside function as the input of the outside function.
- Determine the rule for a function, as well as the domain and range of the function.
- Make and test predictions about the rule for two functions and for their composition.
- Discover the special relationship between two inverse functions and their composition.