Advanced Piecewise Function Calculator 2025
Define, evaluate, and visualize piecewise functions with an interactive graph.
1. Define Function Pieces
2. Evaluate a Point
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Interactive Graph
Piecewise Functions FAQ
What is a Piecewise Function?
A piecewise function is a function defined by multiple sub-functions, where each sub-function applies to a different interval of the main function's domain. It's like having different rules for different situations.
How do I read the domain inputs?
The domain specifies the 'x' values for which a particular rule is active. For example:
- x < 2: The rule applies for all x values less than 2.
- -1 ≤ x < 3: The rule applies for x values from -1 (inclusive) up to, but not including, 3.
- x ≥ 5: The rule applies for all x values greater than or equal to 5.
What do open and closed circles on the graph mean?
The circles indicate whether an endpoint is included in a domain.
• A closed circle (●) means the endpoint is included (used for ≤ and ≥).
• An open circle (○) means the endpoint is not included (used for < and >).
This is important for understanding the function's value at the exact boundary points.