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Reciprocal Function

Here's a step-by-step guide to visualizing reciprocal functions using GeoGebra: Step 1: Open GeoGebra
  • Go to the GeoGebra website (www.geogebra.org) and click on "Graphing Calculator" to open the GeoGebra Graphing Calculator.
Step 2: Enter the function
  • In the input bar, type the reciprocal function you want to visualize, e.g., f(x) = 1/x.
  • Press Enter to graph the function.
Step 3: Adjust the graph settings
  • Click on the "Graphics" menu and select "Graphics Settings".
  • In the "Graphics Settings" window, adjust the x-axis and y-axis limits to a suitable range, e.g., -10 to 10.
  • Click "OK" to apply the changes.
Step 4: Visualize the function
  • The graph of the reciprocal function will be displayed.
  • You can zoom in and out using the mouse wheel or the zoom buttons.
  • You can also rotate the graph using the rotation buttons.
Step 5: Explore the function
  • Use the "Trace" feature to explore the function. Click on the "Trace" button and then click on the graph.
  • Move the cursor along the graph to see the corresponding x and y values.
Step 6: Customize the graph
  • You can customize the graph by adding a grid, axis labels, and a title.
  • Use the "Graphics" menu to access these features.
Following these steps, you can visualize reciprocal functions using GeoGebra and explore their properties. Example:
  • f(x) = 1/x
  • f(x) = 1/(x^2)
  • f(x) = 1/(x^2 + 1)
Remember to adjust the graph settings to suit the specific function you are visualizing.