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This Restricting the Domain lesson plan also includes:
- Teacher Version (.docx)
- Student Version (.pdf)
- Student Version (.docx)
- Precalculus Module 3: Teacher Materials (.pdf)
- Precalculus Module 3: Student Materials (.pdf)
- Precalculus Module 3: Copy Ready Materials (.pdf)
- Precalculus Module 3 (.html)
- Assessment
- Answer Key
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But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using composition, scholars confirm the two functions are inverses with the restricted domain.
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Designed
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Instructional Ideas
- Provide simpler functions for the class to practice finding the inverse and verifying it through composition
Classroom Considerations
- Requires knowledge of finding compositions of functions
- Individuals should be very comfortable working with complex expressions
- Part 20 of 23 in a series of Precalculus lessons
Pros
- Includes an answer key showing the major arithmetic steps
- Contains an exit ticket to check for understanding
Cons
- None