# Piecewise-Defined Functions

ProficientMaxwell
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## 5 Questions

### What is a piecewise function?

A function with multiple sub-functions, each applying to a different interval in the domain

### What is the main requirement for the subdomains in a piecewise function?

They must be pairwise disjoint and cover the whole domain

### How are piecewise functions typically defined using functional notation?

As an array of functions and associated subdomains

### What is the distinguishing characteristic of a piecewise linear function?

It is composed of linear segments over different intervals

### Why are bounded intervals required to have a finite number of subdomains in a piecewise function?

To ensure that the function is well-defined

Test your understanding of piecewise-defined functions, which are functions defined by multiple sub-functions, applying to different intervals in the domain. Explore how to express functions using piecewise definitions and understand the related notion of properties holding piecewise for a function.

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