Function Inspector Tool

The Function Inspector tool is available only in GeoGebra Classic.

Activate the tool, then select the function to explore. A dialog window with two tabs, Interval and Points, appears.

Interval Tab

The Interval tab shows information about the function over the specified interval at the bottom, including the minimum value, maximum value, roots, integral, area, mean, and curve length.

Points Tab

The Points tab displays a table of values for the function. The corresponding points are displayed on the graph in the Menu view graphics.svg Graphics View but are not available as variables in the Algebra View Algebra View.

The Points tab includes the following four buttons, each representing a different operation:

  • Show table of points
    A table displaying y-coordinates corresponding to 9 x-coordinates is shown. The graph in the Menu view graphics.svg Graphics View displays these 9 points. The point corresponding to the x-coordinate in the middle row is highlighted in red on the graph. The x-coordinate in the middle of its column can be edited manually in the table or by dragging the red point in the Menu view graphics.svg Graphics View. Additionally, the steps that specify the interval between x-values can be modified.

In the default table, the x-coordinate and y-coordinate are displayed. Use the + button in the upper right corner to add columns for the values of the first derivative, the second derivative, the difference from the previous column, and the curvature of the function corresponding to the x-coordinate. Use the x button to remove columns. Reorder columns by dragging their headers.

  • Show x,y position lines
    Display the projections of the red point’s x-coordinate and y-coordinate on the axes in the Menu view graphics.svg Graphics View.

  • Show tangent line
    Display the tangent line to the graph at the red point in the Menu view graphics.svg Graphics View.

  • Show osculating circle
    Display the osculating circle representing the radius of curvature at the red point on the graph in the Menu view graphics.svg Graphics View.

Select the icon Menu-tools.svg in the upper right corner of the window to set the rounding of the displayed values to the desired number of decimal places or significant figures.