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Inverses

Inverses. Inverse of a relation. Of the ordered pairs (x, y) is the set of all ordered pairs (y, x). Domain of the inverse is the range of the original. Range of the inverse is the domain of the original. Symbol: . Example: {(1,2), (2, 4), (3, 6), (4, 8)}. Inverse: .

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Inverses

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  1. Inverses

  2. Inverse of a relation • Of the ordered pairs (x, y) is the set of all ordered pairs (y, x). • Domain of the inverse is the range of the original. • Range of the inverse is the domain of the original. • Symbol:

  3. Example:{(1,2), (2, 4), (3, 6), (4, 8)} Inverse:

  4. Example:{(-2, 4), (3, 7), (-5, -4)} Inverse:

  5. Draw the inverse. Compare to the line y = x.

  6. Draw the inverse. Compare to the line y = x.

  7. So how can I look at the graph of a function and decide if its inverse is also going to be a function?

  8. To find an inverse… • Switch the x’s and y’s • Solve for y • Change to functional notation

  9. Find Inverse:

  10. Find Inverse:

  11. Find Inverse:

  12. Find Inverse:

  13. Find Inverse:

  14. Find Inverse:

  15. Find Inverse:

  16. Find Inverse:

  17. Find Inverse:

  18. Find Inverse:

  19. Find Inverse:

  20. Find Inverse:

  21. Homework • Worksheet

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