Piecewise functions can be defined using the common functional notation, where the body of the function is an array of functions and associated subdomains. A semicolon or comma may follow the …

We can create functions that behave differently based on the input (x) value. Example: Imagine a function. It looks like this: And we write it like this: The Domain (all the values that can go into the …

Piecewise functions follow differnt rules depending on the value of x. Learn how to solve, graph, and read piecewise functions here!

Jul 23, 2025 · A piecewise function is a function that is defined differently over different intervals of its domain. Instead of using a single equation for all inputs, it assigns distinct expressions to specific …

Piecewise Functions Piecewise functions are functions that have multiple pieces, or sections. They are defined piece by piece, with various functions defining each interval.

A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain. We use piecewise functions to describe situations in which a rule or …

Piecewise functions are strongly tied to domain and range. The pieces are defined using functions or relations along with a specified domain (or sometimes range, like a vertical line).

Let’s draw these piecewise functions and determine if they are continuous or non-continuous. Note how we draw each function as if it were the only one, and then “erase” the parts that aren’t needed.

To identify the domain and range of a piecewise function, we recall that a piecewise function is defined by different functions each with corresponding domains.

A piecewise function is a function in which more than one formula is used to define the output. Each formula has its own domain, and the domain of the function is the union of all these smaller domains.