In the following activity you can control many features of this mapping diagram and paired spreadsheet and cartesian graph.[br][list][*]By checking the box "[b]Show/Hide second data"[/b] you can show or hide a second pair of data on the mapping diagram and subsequently by checking the revealed box [b]"Show/hide Focus" [/b] you can show or hide a focus point determined by that pair of data.[/*][*]By checking the box "[b]Show/Hide table data"[/b] you can show or hide more data from the spreadsheet on both the mapping diagram and the cartesian graph determined by the [b]slider values for length and n[/b], the number of data used above and below the central value for x.[/*][*]Checking the box "[b]realign axes"[/b] 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 , t[b]he point for x [/b] 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[b] input box "f(x) = "[/b] currently with the entry[b] 2x +1[/b].[/*][/list]