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Types of Discontinuity

Published on Jan 16, 2016

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PRESENTATION OUTLINE

Types of Discontinuity

Learning Target: I can identify a discontinuous function using limits.
Photo by Alan Joyce

What is a limit?

A limit in calculus is a y-value that we approach, but may not reach.

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A discontinuity is a break in the graph of a function.

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There are 3 types:
1. Removable
2. Step
3. Infinite

Removable-there is one point that is not continuous.

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Step- there is a large break in the function

Photo by Mickey Marino

Infinite - the function approaches infinity

Photo by Ranjith Siji

Your team will now create your own presentation about one type of discontinuity.

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Haiku Deck Guidelines

  • Choose one type of discontinuity.
  • Create a function that illustrates your discontinuity.
  • Prove your discontinuity by finding the limit by table.
  • Put all of your work in a Haiku Deck. You can use any of the tools available to get your work into pictures : snipping, Smartview, taking pics on cell phones, etc.