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Exploring Function Inverses: Graphical Understanding

Students will learn to determine function inverses graphically and practice with the vertical line test to verify. Understand the concept of inverses and how they switch input and output values. Examples of inverse functions are provided for visualization.

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Exploring Function Inverses: Graphical Understanding

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  1. Introduction to inverses

  2. Objectives • Students will be able to determine the inverse of a function graphically.

  3. Practice with the vertical line test – do these pass?

  4. What is an inverse? • The inverse of a function (or a relation) basically switches the input (x) and the output (y). • The following are inverses: {(1, 2), (4, 5)} {(2, 1), (5, 4)}

  5. Graph the function and its inverse

  6. Graph the function and its inverse

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