The GeoGebra applet gives a spreadsheet, a graph and a mapping diagram for this function.

You can explore other similar related rational functions- by changing the slider values of $A$ and $h$.

The spreadsheet shows a selection of the values this function.

The graph frame shows the graph of the table values of the function $f$ as well as the visualization of the graph of (all the values of) the function.

The mapping diagram frame shows a mapping diagram with a moveable point paired with a point on the graph of $f$.

Checking the box in either frame will show arrows on the diagram and points on the graph that correspond to the values on the spreadsheet table for $f$.

Martin Flashman, Oct. 20, 2013. Created with GeoGebra