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