Download the worksheet here.
See the dynamic worksheet (html) here.
Start GeoGebra. I have already adjusted the axes by clicking the 4-way arrow button and clicking and dragging the Drawing Pad, rolling the mouse wheel to zoom, and then clicking on the axes to stretch or compress them.
In the Input box, define one piece of the function, indicating the restricted domain:
and hit Enter to see the graph on that domain:
Add the second piece of the function:
Add points to indicate what happens at x=3 this way. Type A = (3,f(3)), Enter, B = (3,g(3)), Enter:
Now color the points to make open and closed circles. Right click point A in the left pane, select properties, and then the Color tab:
Choose white, for an open circle. This will also be the color of the label for A, so you will not see the label anymore. Point B is already black, so there is nothing more to do.
If you don't want the letter B showing, right click point B in the left pane
and uncheck "Show Label". Same with the functions f and g.
Add arrows to the ends of the graphs with this text:
u = Vector[(-0.99,f(-0.99)),(-1,f(-1))]
v = Vector[(4.99,g(4.99)), (5,g(5))],
then remove the labels for u and v.
The final picture looks like this:
Save, then to export as an Encapsulated PostScript file, do File, Export,
Drawing Pad as Picture, then .eps.
Please pay attention to this crucial point! You must carefully set the
"Scale in cm" entries. As far as I can tell, modifying them (and then
clicking in the other field) updates the "Size" line. Your goal is to make
the first size number, the horizontal size, as close to 21.59 cm (8.5 in) as
possible without going over. In this case, you can use 3.1:1. In
other cases, I have had to use 1:2.2. Experiment to get the right
combination. If the size is larger than 21.59, the right part of the image
will be cut off. If less than 21.59, the image will be very small, and
quality will suffer.
Click Export and choose a file name. You can put this into Word with Insert, Picture, From File. When printed, it will be high quality.
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Department of Mathematics and Statistics /
Math 592 /
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