Multiple Explicit Functions yi=fi(x)(i=0,1,2,3) Plotter (version 4.1)

This plotter is an augmentation of the y=f(x) function plotter. It can plot multiple(4) explicit functions, yi=fi(x)(i=0,1,2,3), on the same coordinate system. 
It can be used for function comparison and investigation of relationships between multiple functions. 

1. Click "Run/Re-Run Plotter" button to plot the pre-defined example functions.
2. To plot your own functions, just input your function formulas to replace the example functions.
3. Change or set the plot range [xmin, xmax] for your new functions, if needed.
4. Click "Run/Re-Run Plotter" button to plot the new/re-defined functions.
5. You can add or remove one or more functions using the Checkboxes.
A more detailed usage of this function plotter is at the end of this page.

Restart/Reload This Web Page

Select Plot Size:Set Width of Graph Line:

Keep Graph Shape or Not:

      Push/Click "Run/Re-Run Plotter" Button to Start

Input Your Own Function Definition or Change the Pre-defined Example
Use Checkboxes to Select Functions to Plot (Must Select at Least One Function)

f0(x):

f1(x):

f2(x):

f3(x):

Input X Plot Range---xmin and xmax:

xmin:xmax:

Saved Projects:

How to save your projects for later use:
Click "Save Project" to save the current project to your device. All necessary function(s) and parameters will be saved.
Click "Load Project" to load a saved project and run it.
Click "Delete Project" to remove the selected project from your device.
Note: Your projects will remain saved to your device unless you delete them or you clear the site data of your browser.

Sharing your projects:
To create a URL link for the current project, click the "Share Function" button below the graph(s).
This will copy a link containing the current project to your clipboard that you can share with others.
You can also save a PNG image of the current graph by clicking the "Save Graph as Image" button.

Disclaimer: No data saved with these tools are kept by or sent to mathonthecloud.com. Everything is saved locally to your device only.

More Usage Information for the Function Plotter:

The plotter provides a set of example functions to demo the function formula syntax, click "Select Menu,,,".
The function formula follows JavaScript syntax and support all the JavaScript Math functions, such as cos(), sin(), abs(), sqrt(), etc.. See"Supported Operators and Functions".
For function formula, supported operators limited to: +(Addition), -(Subtraction), *(Multiplication), /(Division), ^(or **)(Exponentiation).
Other operators, such as &, &&, |, ||, >>, >, <<, <, %, !, etc., are not supported for function formula and they will be treated as errors, although they are legal JavaScript operators.
Use mouse(left key, down-move-up) to select part of function graph to zoom-in. Use "Zoom-out/Back" button to reverse the zoom-in.
When moving the mouse cursor on the graph plot, the mouse position on the math space (x,y) will be displayed.
If the checkbox "Keep Graph Shape or Not" is checked, the plotter uses the same scale factor in both x and y directions and the graph will keep its original shape. If the checkbox is unchecked, the graph will be stretched in one direction to make full use of the canvas plot area.
The plotter will catch most of user-input errors and function singularity errors, and will display a notice for possible error correction.
After correct the error, click "Run/Re-Run Plotter" button to re-run the plotter.
In current version plotter, data sampling period dx=(xmax-xmin)/2000. For high frequency function, set a smaller plot range [xmin,xmax] can reduce dx.