The Inverse Relationship Between Logarithmic and Exponential Functions

Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and logarithmic functions.

 

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CCSS: Designed
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Instructional Ideas
  • Have the class create a chart summarizing relationships (e.g., inverse of an exponential function is logarithmic, inverse of a linear function is linear, etc.)
Classroom Considerations
  • Teacher guide indicates that the lesson could be split over two days, as pupils have not previously encountered inverse functions
  • Learners should have previous knowledge of domain and range, transformations of graphs, function notation, compositions, etc.
Pros
  • Inverses are considered using a variety of representations such as mappings, graphs, equations, and ordered pairs
  • Teacher guide contain questions to generate classroom discussion
Cons
  • None