Inverse Functions - Squares and Square Roots

This applet is tracing a point along the graphs of the function [math] y=x^2[/math] and [math] y=\sqrt{x}[/math], connecting the graphs to an actual square . [list][*]Drag the red point (lower right vertex of the square) along the xAxis.[/list] [list][*]Trace the area as a function of the side.[/list] [list][*]Trace the side as a function of the area.[/list]