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Continuity
Do Now:  An volt battery to a 12 volt battery 7 seconds after being turned on.  Graph the battery voltage against electric...
When is a function continuous at a point? <ul><li>A function  f(x)  is continuous at  c  if: </li></ul><ul><li>a.  f(c)  e...
Types of discontinuity: <ul><li>Jump </li></ul><ul><li>Removable (hole) </li></ul><ul><li>Infinite (vertical asymptote) </...
How can we make a function continuous? Redefine the function as piecewise (Fill in the hole) Set branches =, sub in x, and...
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Continuity

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Continuity

  1. 1. Continuity
  2. 2. Do Now: An volt battery to a 12 volt battery 7 seconds after being turned on. Graph the battery voltage against electrical circuit switches instantaneously from a 6 time. Write the function represented by the graph. What can you say about the continuity of this function?
  3. 3. When is a function continuous at a point? <ul><li>A function f(x) is continuous at c if: </li></ul><ul><li>a. f(c) exists </li></ul><ul><li>b. </li></ul><ul><li>c. </li></ul>
  4. 4. Types of discontinuity: <ul><li>Jump </li></ul><ul><li>Removable (hole) </li></ul><ul><li>Infinite (vertical asymptote) </li></ul><ul><li>Oscillating </li></ul>
  5. 5. How can we make a function continuous? Redefine the function as piecewise (Fill in the hole) Set branches =, sub in x, and solve for coefficient or constant

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