Piecewise Function Calculator
Define and evaluate piecewise functions with multiple intervals. Visualize and calculate function values at any point.
Piecewise Function Calculator
Define and evaluate piecewise functions
Function Definition
Interval 1
Interval 2
Function Notation
Function Evaluation
Examples
| Function | Description |
|---|---|
| x², x < 0 2x, 0 ≤ x < 5 10, x ≥ 5 | Quadratic, linear, and constant pieces |
| -1, x ≤ -1 x, -1 < x < 1 1, x ≥ 1 | Signum-like function |
| sin(x), x < π cos(x), x ≥ π | Trigonometric piecewise function |
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How It Works
Simple steps to define and evaluate piecewise functions!
Define Your Intervals
Set the start and end points for each interval of your function.
Enter Expressions
Specify the mathematical expression for each interval.
Evaluate at Any Point
Calculate the function's value at any x within your defined intervals.
Key Features
What makes our Piecewise Function Calculator special!
Unlimited Intervals
Add as many intervals as you need to define your function.
Full JavaScript Math Support
Use any JavaScript math functions in your expressions.
Function Notation Preview
See your piecewise function in standard mathematical notation.
Who Can Benefit
Our calculator helps various users:
Students
Learn and visualize piecewise functions in calculus and algebra.
Teachers
Create examples and demonstrate piecewise function concepts.
Engineers & Scientists
Model real-world systems with piecewise functions.
Programmers
Test and validate piecewise logic before implementation.
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Try NowPerfect for Calculus!
"This helped me understand piecewise functions for my AP Calculus class."
Michael T.
Teacher Approved
"I use this tool to demonstrate piecewise functions to my algebra students."
Ms. Rodriguez, Math Teacher
Saved Me Hours
"As an engineer, I frequently need to model piecewise systems - this tool is invaluable."
Dr. Chen
Intuitive Interface
"The clean design makes it easy to define complex piecewise functions."
Sarah K.
Frequently Asked Questions
1Is this calculator free to use?
Is this calculator free to use?
Yes, our Piecewise Function Calculator is completely free to use with no limitations.
2What math functions can I use in expressions?
What math functions can I use in expressions?
You can use any JavaScript math functions like Math.sin(), Math.sqrt(), Math.pow(), etc. The 'x' variable represents your input value.
3Can I define infinite intervals?
Can I define infinite intervals?
Yes, you can use -Infinity and Infinity as interval bounds (e.g., for x < 0 use start: -Infinity, end: 0).
4How many intervals can I add?
How many intervals can I add?
There's no hard limit - add as many intervals as you need to define your function.
5Can I save my function definitions?
Can I save my function definitions?
Currently the calculator works in-browser only. You can copy the function notation to save it elsewhere.
6Is there mobile support?
Is there mobile support?
Yes, the calculator is fully responsive and works on mobile devices.
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