Dynamic Visualization of Inverse for a Positive Power Function:
      Graphs and Mapping Diagrams 
    
    
 $f(x)=\sqrt [n] {P(x)}$
    
    
      - Move the slider to change the value of $n$.
 
- Check the box to see the table data visualized as arrows on
        the mapping diagram and points on the graph for the function. 
 
- 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 points $a$ and $b$ to move the endpoints of the
        interval in the domain for evaluating the 9 points.
- You can also change the function $P$ used before the inverse.
 
Martin Flashman, Nov.8, 2013,
        Created with GeoGebra