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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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 NowUser Reviews
Rated Excellent 4.98/5 on There's An AI For That (TAAFT) - The #1 AI Aggregator
- Jun 17, 2025
Perfect for Calculus!
This helped me understand piecewise functions for my AP Calculus class.
Michael T.Verified Review - Jun 15, 2025
Teacher Approved
I use this tool to demonstrate piecewise functions to my algebra students.
Ms. Rodriguez, Math TeacherVerified Review - Jun 13, 2025
Saved Me Hours
As an engineer, I frequently need to model piecewise systems - this tool is invaluable.
Dr. ChenVerified Review - Jun 11, 2025
Intuitive Interface
The clean design makes it easy to define complex piecewise functions.
Sarah K.Verified Review
Frequently Asked Questions
Is this calculator free to use?
Yes, our Piecewise Function Calculator is completely free to use with no limitations.
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.
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).
How many intervals can I add?
There's no hard limit - add as many intervals as you need to define your function.
Can I save my function definitions?
Currently the calculator works in-browser only. You can copy the function notation to save it elsewhere.
Is there mobile support?
Yes, the calculator is fully responsive and works on mobile devices.
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