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Piecewise-Defined Functions
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Piecewise-Defined Functions

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Questions and Answers

What is a piecewise function?

  • A function with sub-functions that overlap in the domain
  • A function with no sub-functions, only interval notation
  • A function with multiple sub-functions, each applying to a different interval in the domain (correct)
  • A function with only one sub-function applying to the entire domain
  • What is the main requirement for the subdomains in a piecewise function?

  • They must be infinite and unbounded
  • They must overlap to ensure continuity
  • They must be pairwise disjoint and cover the whole domain (correct)
  • They must be continuous and bounded
  • How are piecewise functions typically defined using functional notation?

  • As a series of conditional statements
  • As a single function with multiple expressions
  • As an array of functions and associated subdomains (correct)
  • As a single expression for the entire domain
  • What is the distinguishing characteristic of a piecewise linear function?

    <p>It is composed of linear segments over different intervals</p> Signup and view all the answers

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

    <p>To ensure that the function is well-defined</p> Signup and view all the answers

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