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Investigating Inverses

Investigating Inverses. February 25, 2008. Inverse Function. T he inverse of a function reverses the x and y coordinates. In other words, for every ordered pair (x, y) in a function there will be an ordered pair (y, x) in the inverse function. .

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Investigating Inverses

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  1. Investigating Inverses February 25, 2008

  2. Inverse Function • The inverse of a function reverses the x and y coordinates. In other words, for every ordered pair (x, y) in a function there will be an ordered pair (y, x) in the inverse function.

  3. When we look at a graph, a function is reflected over the line y=x to create the inverse of the function. By reflecting over the line y= x we are achieving the goal of reversing the x and y coordinates.

  4. The original function looks like this:

  5. Draw the line of symmetry y= x

  6. Find the inverse of each relation {(3,1), (4,-3), (8, -3)} {(1,3), (-3, 4), (-3,8)} {(-7, 1), (5, 0), (-2, 5)} {(1, -7), (0, 5), (5, -2)}

  7. Find the inverse of each relation

  8. Find each value. Use the function f, below. f= { (4, -3), (5, 0), (-3, 1), (0, -6), (1, -8), (7, -4)}

  9. Find each value. Use the function f, below.

  10. Sketch the graph of the given function. Then determine the inverse of the function. Finally graph the inverse on to the same coordinate plane as the original function Exchange y and x Solve for y

  11. Graph

  12. Determine the inverse of the function

  13. Graph

  14. Determine the inverse of the function

  15. Graph

  16. Determine the inverse of the functions

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