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A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:

  • the domain itself is discontinuous (disjoint domains),
  • the value of the function is not defined at the start or end-point of the domain ((a hole),
  • the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).



A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:

  • the domain itself is discontinuous (disjoint domains),
  • the value of the function is not defined at the start or end-point of the domain ((a hole),
  • the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).



A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:

  • the domain itself is discontinuous (disjoint domains),
  • the value of the function is not defined at the start or end-point of the domain ((a hole),
  • the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).



A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:

  • the domain itself is discontinuous (disjoint domains),
  • the value of the function is not defined at the start or end-point of the domain ((a hole),
  • the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).
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12y ago

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More answers

A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:

  • the domain itself is discontinuous (disjoint domains),
  • the value of the function is not defined at the start or end-point of the domain ((a hole),
  • the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).
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Wiki User

12y ago
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Q: How do you sketch a piece wise continuous function?
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