A polynomial graphic tool
The Java applet below will help you
to graph polynomials, and much more.
Here is a summary of its features:
- Enter the polynomial you wish to work with in the bottom field.
When it is what you want, either press the Enter key on your keyboard,
or click on the Reset button with your left mouse button.
(they have exactly the same effect.)
- When the window opens up, it is in
Point mode. Clicking on one of the other buttons
above will change the mode. The mode determines what
response will be made to a mouse click in the picture window.
- In Point mode, a single node is displayed on the graph.
If you click on the node and drag it, it will move
along the graph.
- In Tangent mode, both the node
and the tangent line will be displayed and move.
- In Secant mode, two nodes and the secant
line between them
will be displayed. Both nodes may be moved.
- In Zoom + mode, the figure will zoom in on
to the point you have clicked on. Objects will be
enlarged by a factor equal to about 1.33
Eight successive zooms will scale by a factor of 10.
- In Zoom - mode, the figure will zoom out on
to the point you have clicked on. Objects will be
shrunk by a factor equal to about 1.33.
At all times, the location of the active nodes will be displayed
at the current resolution, which is also displayed.
The current resolution is the width of one grid interval.
The way you write a polynomial is like this:
x^3 - x + 1 or
-2x^2 + 1. In the current version
of this tool, the coefficients must be
integers.
We could tell you more, but if we have done our job
correctly you will be able to figure
things out for yourself.
A known bug is that you zooming
several times rapidly in succession may freeze the display temporarily.
So zoom slowly.