Mínimo x: | máx x: |
Min y: | Max y: |
Show Axis
Label Axis
Show Graph
Graphing a piecewise function can be a tedious and difficult task. Therefore, here we put at your disposal the Graphing piecewise function calculator, with which you can graph piecewise functionsquickly and easily.
To use the Piecewise function calculator you must follow the following steps:
A piecewise function is a mathematical function that is defined by multiple sub-functions, each of which applies to a different part of the function’s domain. These sub-functions are defined on specific intervals or “pieces” of the domain, and together they create a complete function.
Piecewise functions are commonly used to represent mathematical models that have different behaviors or rules for different parts of their domain. For example, a piecewise function might represent the cost of a taxi ride, which could have different rates for different distances traveled. In this case, the function would have one rule (or sub-function) for distances within a certain range, and another rule for distances outside that range.
Here are a few examples of piecewise functions:
The absolute value function: f(x) = |x| is a piecewise function because it has different rules for different parts of its domain. Specifically, f(x) = x if x is greater than or equal to 0, and f(x) = -x if x is less than 0.
The step function: f(x) = {1 if x is greater than or equal to 0; 0 if x is less than 0} is another example of a piecewise function.
It has a value of 1 for all non-negative values of x, and a value of 0 for all negative values of x.
Graphing a piecewise function involves plotting different parts of the function over the specified intervals.
Here are the general steps to graph a piecewise function: