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Use Inverse Functions
   An inverse relation interchanges the input
    and output values of the original relation.

   This means that the domain and range
    are also interchanged.




Inverse Relation
   Original relation
       X     0      1   2   3   4
       Y     6      4   2   0   -2


   Inverse relation
        X     6     4   2   0   -2
        Y     0     1   2   3   4




Inverse Relation
The graph of the inverse function is a reflection
   of the graph of the original relation. The line of
   reflection is y=x.

Inverse Relation
Lesson 6.4
Lesson 6.4
   The inverse of a function f is also a
    function if and only if no horizontal line
    intersects the graph of f more than once.




Horizontal Line Test





Inverse Functions





Inverse Functions





Checking for Inverses

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Lesson 6.4

  • 2. An inverse relation interchanges the input and output values of the original relation.  This means that the domain and range are also interchanged. Inverse Relation
  • 3. Original relation X 0 1 2 3 4 Y 6 4 2 0 -2  Inverse relation X 6 4 2 0 -2 Y 0 1 2 3 4 Inverse Relation
  • 4. The graph of the inverse function is a reflection of the graph of the original relation. The line of reflection is y=x. Inverse Relation
  • 7. The inverse of a function f is also a function if and only if no horizontal line intersects the graph of f more than once. Horizontal Line Test