Mathlets: Graphing Functions

Graphing Functions

Graphs up to 5 functions simultaneously in rectangular coordinates. How to use || Examples || Other Notes

How to Use

Enter a function f₁(x) in the text input field marked "f₁(x)=" (Example: f₁(x)=e^x)
Click the "Graph" button (this button also refreshes the graph)
To see two functions graphed simultaneously:
- Enter the second function f₂(x) in the text input field marked "f₂(x)="
- Click (to its "on" state) the check box next to this input field
- Click the "Graph" button
(Example: f₁(x)=e^x and f₂(x)=x²)
Up to 5 functions can be graphed simultaneously
To remove a function from the graph, click (to its "off" state) the check box next to the associated text input field and click the "Graph" button to refresh
To erase the graph and all input fields, click the "Clear" button

The text input fields can accept a wide variety of expressions to represent functions, and the buttons under the graph allow various manipulations of the graph coordinates.

Examples

Miscellaneous functions: Parabola: f₁(x)=x² Rational: f₂(x)=x/(x+1) Conditional: f₃(x)= x² if x< 1, else x-2 Exponential: f₄(x)=e^x Trigonometric: f₅(x)=sin(x)		Comparison: f₁(x)=e^-x² f₂(x)=1/(1+x²)
		Comparison: f₁(x)=(e^x+e^x)/2 f₂(x)=x²+1

Other Notes
The graphs of the functions are color-coded, corresponding to the colors of the labels marking the text input fields: the graph of f₁(x) is blue, f₂(x) is red, f₃(x) is green, f₄(x) is orange, and f₅(x) is magenta.