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# Inverse Functions

Lesson 6 of 8

## Objective: SWBAT explain what an inverse function is and determine the inverse function given a one-to-one function.

Building on the warm-up activity and the Inverse Functions powerpoint presentation from the previous day's lesson, I write out the following notes on the board:

- A step-by-step process for finding the inverse of a function presented algebraically
- A process for finding the inverse of a function presented graphically
- A process for finding the inverse of a function presented numerically

In all my instruction about inverse functions, I emphasize that inverse functions are all about switching the domain and range of a function. I hope that remembering this big picture concept will help the work with inverse function feel less abstract and more manageable.

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#### Group Work

*40 min*

To practice the skills outlined in the notes, students work in groups to complete WS Inverse Functions. This is a collection of problems that promote flexibility in working with inverse functions. Students convert between algebraic, numeric, and graphical representations of inverse functions.

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#### Assignment

*10 min*

To solidify their understanding of inverse functions and how to represent them, students complete Inverse Function Homework for the night's assignment. I anticipate that this assignment will take my students about 30 minutes. I provide an answer key through Edmodo so that they can check their answers before coming to class.

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- LESSON 1: Modeling Proportional Relationships
- LESSON 2: Simplifying Rational Expressions
- LESSON 3: Operations with Rational Expressions
- LESSON 4: Solving Rational Equations
- LESSON 5: Quiz and Intro to Inverse Functions
- LESSON 6: Inverse Functions
- LESSON 7: Review Stations
- LESSON 8: Unit Assessment: Rational and Inverse Functions