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This Inverse Functions: Definition of Inverse Functions interactive also includes:
- Inverse Functions
- Student Reference
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Is the inverse of a function also a function? Pupils manipulate the graph of a function to view its inverse to answer this question. Using a horizontal and vertical line, class members determine whether the initial function is one-to-one, while at the same time checking to see if the inverse is a function. They use that information to determine whether given functions are one-to-one.
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CCSS:
Adaptable
Concepts
Additional Tags
Instructional Ideas
- Use the definition of one-to-one to explain why a horizontal line test works to determine whether a function is one-to-one or not
Classroom Considerations
- Individuals should understand that inverses are reflections across the y = x line.
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Pros
- Individuals can view the correct answer if they need to
- The supplemental material includes additional examples and problems
Cons
- None