Inverse Function

This applet can be used to study inverse functions.
  • Enter a function of in the input box.
  • Set the domain of the function by dragging the arrows at the ends of the blue segment at the bottom of the window.
  • Click on the “Horizontal Line Test” and drag the vertical slider. Is a one-to-one function?
  • Click on the “Reflect f(x)” button to reflect the graph of about the line .
  • Drag the horizontal slider to run the Vertical Line Test. Is the reflection of the graph of a graph of a function?
  • Drag the arrows at the ends of the blue segment under the graphs to restrict the domain of in such a way that the reflected graph is a graph of a function.
  • Click the “Show Corresponding Points”. Drag the orange point along the graph of and notice its reflection on the graph of the inverse function .