Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and exponential relationships. The goal of the first module in a 10-part Algebra II series is for learners to find inverse functions both graphically and algebraically. 

Concepts

linear functions, quadratic functions, exponential functions, inverse functions

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Additional Tags

math

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Instructional Ideas

• Incorporate extension questions as enrichment for more advanced pupils
• Use practice problems as partner work to verify understanding

Classroom Considerations

• Requires previous work with linear, quadratic, and exponential functions

Pros

• Uses application questions to give relevance and meaning to the concept
• Provides a teacher guide to help plan for instruction

Cons

• None

Common Core

HSF-BF.A.1.a HSF-BF.B.4.a HSF-BF.B.4.b HSF-BF.B.4.c HSF-BF.B.4.d