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 I can… ◦ Find the inverse of a given relation or function.

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Presentation on theme: " I can… ◦ Find the inverse of a given relation or function."— Presentation transcript:

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2  I can… ◦ Find the inverse of a given relation or function.

3  Relation: Set of Ordered Pairs Ex: {(1, 3) (2, -5) (0, 0) (3, -6) (2, 8)}  Inverse Relation: Obtained by switching the x and y coordinates Ex: {(3, 1) (-5, 2) (0, 0) (-6, 3) (8, 2)}

4  Find the inverse of each relation: 1. {(10, 3) (7, -4) (8, 20)} 2. {(4, 1) (-3, 3) (7, 0) (-1, 1)} 3. {(2, 2) (9, -7) (-2, -3) (1, -3)}

5 1. {(3, 10) (-4, 7) (20, 8)} 2. {(1, 4) (3, -3) (0, 7) (1, -1)} 3. {(2, 2) (-7, 9) (-3, -2) (-3, 1)}

6  Inverse Functions: Obtained by exchanging the x and y variable in the equation. Steps: 1. Replace f(x) with y. 2. Switch x and y. 3. Re-solve the equation for y. 4. Replace y with f -1 (x).

7  Find the inverse of

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9  Find the inverses for the following functions:

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12  Pg 396 #9-22 all


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