Using GeoGebra to make a graph with arrows

This is a dynamic worksheet created by GeoGebra. The graphing window on the right is called the Drawing Pad. To zoom in or out, click in the drawing pad and roll the mouse wheel (if you have one!). To slide the graph left, right, up, or down, click the four-way arrow button, then click and drag in the Drawing Pad. Click and drag the axes to stretch or compress them. To change the function being graphed, double click "f(x) =" and edit directly. The variable b tells where the asymptote is; you may need to change that. Variables a and c tell the left and right limits of the graph. offset tells how close to the vertical asymptote the graph should come. The arrows on the graphs, the red asymptote lines, and the functions g and h (which restrict f to intervals [a,b-offset] and [b+offset,c]) are automatically defined, so you will not need to edit them. Adding a second vertical asymptote will take some work, because additional arrows and asymptote lines will need to be defined. Note that the horizontal asymptote uses f(10000) to set the height, not the actual limit of f(x) as x goes to infinity.

Note that the options File, Save, and File, Export do not work on my computer.

Craig L. Zirbel, Created with GeoGebra