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Example 3

Find the inverse of the absolute-value function if it exists, and determine the domain and range of the inverse.
  1. Write the inverse of the function and simplify it.
  2. Graph the function and its inverse on a graphing calculator.
  3. Determine the domain and range of the function.
  4. Identify the restricted domain(s) over which the function can have an inverse.
  5. Find the domain and range of the inverse.
This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information.