• Check the box to see the table data visualized as arrows on the mapping diagram and points on the graph for the function. 
• Move the slider to change the value of $n$ which controls the amount of data used.
• Check the box to see the validation of the function $f$ satisfying the equation $g(x,f(x))=0$.
  
• Select the point $x$ in the mapping diagram to move the point by mouse or use the scroll up or down key  to move by increments of 0.1.
• Select the slider "cut"  to move the cut point of the interval in the domain for evaluating the points.
• You can also change the function $g(x,y)$ as well as the functions $f_1$ and $f_2$.
  

  $g(x,y) = y^2 - x^3 + x = 0$	$g(x,y) = x^2 - 2x y + 4y^2 - 8 = 0$

Martin Flashman, Dec. 21, 2013, Created with GeoGebra