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GeoGebraGeoGebra Classroom

Mapping Diagram, Spreadsheet, Graph, Realign, Focus

In the following activity you can control many features of this mapping diagram and paired spreadsheet and cartesian graph.
  • By checking the box "Show/Hide second data" you can show or hide a second pair of data on the mapping diagram and subsequently by checking the revealed box "Show/hide Focus" you can show or hide a focus point determined by that pair of data.
  • By checking the box "Show/Hide table data" you can show or hide more data from the spreadsheet on both the mapping diagram and the cartesian graph determined by the slider values for length and n, the number of data used above and below the central value for x.
  • Checking the box "realign axes" will realign the scales on the co-domain axis so that the point for the value f(x) will lie at the same vertical level as the point for x on the domain axis.
  • On the domain axis , the point for x can be moved by clicking on it with the mouse. This will change data on the spreadsheet , mapping diagram and cartesian graph.
  • The function rule can be changed by entering changes in the input box "f(x) = " currently with the entry 2x +1.

Mapping Diagram, Spreadsheet, Graph, Realign, Focus

Change the function

Change the function using the input box to f(x) = -2x+1. Show the table data and realign the axis. Describe the most interesting visual feature(s) of the mapping diagram for f(x) = -2x+1.