Inverse Functions: Definition of Inverse Functions

This Inverse Functions: Definition of Inverse Functions interactive also includes:

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
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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 = x line.
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  • Individuals can view the correct answer if they need to
  • The supplemental material includes additional examples and problems
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Common Core