**PLOTTING APPLET**

**Plotting Applet**

The purpose of this applet is to plot functions. It can plot up to 10 different functions at the same time. It can also be used to solve equations numerically. Its functions as follows:

- The
**Viewing Window Parameters**area is used to set the area of the graph the user wishes to see. Use it as follows:- Specify the desired values for
,**XMin**,**XMax****YMin**. The applet will do basic error checking. If a entry other than a number is typed in, an error will be displayed, and the focus will remain in the field which caused the error.**YMax** - When
**Use y-range**is checked, the supplied values for the y-range will be used Otherwise, the applet will find YMin and YMax from the supplied functions. - Any change in this area will take effect only after the
**Plot**button is pressed.

- Specify the desired values for
- The
**Function Information**area is where the functions to be plotted are entered. Use this area as follows:- To enter a new function, always press the
**New Function**button. Then, enter the expression defining the function. The syntax is similar to the syntax used in the Java Math Engine. For example, to define the sine function, you would type in. Make sure you use**sin(x)**for the variable in your definition. This field supports the syntax of the Java Math Engine. This site provides further help on the syntax the Java Math Engine understand.**x** - A maximum of 10 functions can be defined at the same time.
- Checking
**Active**means the function will show on the graph. Unselecting it means the function will not show. - Use the + and - buttons to scroll through the list of defined functions.
- Each defined function has a different color assigned to it. The selection is automatic.
- When a function is defined, it is automatically assigned a name of the form fi where i is a number which starts at 1 and is incremented every time a new function is defined. The name a function will be saved under appears to the left of the field where it is defined.
- Once a function is defined, its name can be used in the definition of other functions. For example, if two functions have been defined, the definition of function 3 could be
Note that we use**f1(x)+x*f2(x)**and not just**f1(x)**.**f1** - The functions defined will plot only after
**Plot**has been pressed. **Del Function**will delete the function currently showing. When deleting a function, make sure that it is not used in the definition of another function. An error would occur in this case. For example, ifand**f2(x) = x + f1(x)**is deleted, then the definition of**f1**contains an unknown symbol,*f2*.*f1***What can be plotted?**- Any valid mathematical expression. The restriction is that the independent variable must be
. A mathematical expression is formed by using the independent variable**x**, operations, built-in functions and user defined functions. See the help in the Java Math Engine to learn more about expressions, variables, built-in and user defined functions. Here are some examples of what can be plotted**x** *x^3-5*x+4**sin(x^3)*yes, the derivative of a function can also be plotted!*diff(x^2-5)*- This site provides further help on the syntax the Java Math Engine understand.

- Any valid mathematical expression. The restriction is that the independent variable must be

- To enter a new function, always press the
- The
**Zoom and Trace**area is where zooming and tracing take place. Use this area as follows:- To zoom in, picture in your mind the rectangular region you would like to zoom in. Left click on one of the corners of this imaginary region. While holding the mouse button down, move it to the opposite corner, then release it. As you move the mouse, a rectangle will be drawn to help you visualize the region. Once the mouse button is released, the graph will redraw,
,**XMin**,**XMax****YMin**will be updated.**YMax** - To go back to the original view (XMin = -10, XMax = 10, YMin = -10, YMax = 10), press
**Reset Zoom**. - To trace, simply single left click in the graph area. A point will be generated by taking the x-coordinate of the point where you clicked and the y-coordinate on the function currently showing.
- To move the point, use the
**Right**or**Left**buttons. The point will move on the function currently showing. By selecting a different function, you can select which function you want your point to follow. - The coordinates of the point will be displayed under
**X:**and**Y:**.

- To zoom in, picture in your mind the rectangular region you would like to zoom in. Left click on one of the corners of this imaginary region. While holding the mouse button down, move it to the opposite corner, then release it. As you move the mouse, a rectangle will be drawn to help you visualize the region. Once the mouse button is released, the graph will redraw,
- The
**Control Buttons**area contains buttons which have a global effect for the applet.- The
**Clear All**button erases all the function definitions. - The
**Plot**button is used to update the plot area after changes in the other areas have been made.

- The
- The
**Messages**area is where the applet communicates with the user. Error messages as well as user information is displayed there. Errors are displayed in red, while information is displayed in black.

*This applet was developed by Dr. Philippe B. Laval, at Kennesaw State University.*

*This work was funded in part by: *

*The National Science Foundation grants # GEO-0355224 and # DUE-9952568*

The US Department of Education FIPSE #P116B00178

The US Department of Education FIPSE #P116B00178