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Inverses of Functions Part 3

Inverses of Functions Part 3. Lesson 2.10. Oral Drill. What are two other ways to refer to the input? What are two other ways to refer to the output? j. Oral Drill. k l m n p. What is the inverse of a function?. The relation that results when the input and the output are switched.

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Inverses of Functions Part 3

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  1. Inverses of FunctionsPart 3 Lesson 2.10

  2. Oral Drill • What are two other ways to refer to the input? • What are two other ways to refer to the output? • j

  3. Oral Drill • k • l • m • n • p

  4. What is the inverse of a function? • The relation that results when the input and the output are switched. • x switches with y • Domain switches with range

  5. Finding Inverses AlgebraicallyExample #1 Find Change to x-y notation. Less confusing Switch input and output. To find inverse Subtract 2 from both sides. To solve for y Divide both sides by 2. To solve for y. Distribute and rearrange. To simplify right side of equation.

  6. Practice #1.a • . Find

  7. Practice #1.b • . Find

  8. Independent Practice • Complete Problem 1, 2, 3 independently. • If you have time: 6, 8

  9. Verifying (proving) functions are inversesExample #2 You are given the problem and find that . Verify (prove) these functions are inverses. Process: • Call by the name . • Find and . • If and , the functions are inverses of each other.

  10. Practice #2.a • With your table, verify the following functions are inverses: HINT: Write as for one equation and for the other.. . . . . . . . . .

  11. Independent Practice • Complete problems 4, 5, 7 independently. • Complete 6, 8 if you did not before

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