In Tutorials [b][url=https://www.geogebra.org/m/gn9zxahw]1[/url][/b], [b][url=https://www.geogebra.org/m/px6rxp6f]2[/url][/b] and [b][url=https://www.geogebra.org/m/ek8pu8cr]3[/url][/b], we learned about the Geometry tools in GeoGebra. Here, we learn how to plot graphs. In this tutorial, we graph the functions [math]f\left(x\right)=e^x[/math]and [math]y=x[/math] and then reflect the graph of f about the graph of [math]y=x[/math]. Try them yourself first and if you have difficulties, read the Construction Steps below.

[list=1][*]To plot the graph of [math]f\left(x\right)=e^x[/math], click on the Input bar (right of the + button on the left window) and type f(x) = e^x, then press the ENTER key on your keyboard. [/*][*]Plot the graph of [math]y=x[/math].[/*][*]Select the [b]Point[/b] tool and click on the graph of f. This will plot point [i]A[/i]. [/*][*]To plot point [i]B[/i] with reverse coordinates as [i]A[/i], type[color=#0000ff] B = (y(A), x(A))[/color]. The command y(A) returns the y coordinate of A and  x(A) returns the x coordinate of A. [/*][*]Right click on B and then select Show Trace. [/*][*]Move point A and observe what happens. [/*][/list]

[list][*]To plot points, just type the name of the point and then the coordinates. For example, A = (2,3) for point A on (2,3). [/*][*]GeoGebra supports both the y and f(x) notations. [/*][/list]

1.) How is the trace of point B related to the graph of [i]f[/i] and the graph of y = x?[br]2.) What do you think is the equation of the trace of [i]B[/i]?