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jennwatso15 Group Title

How would you "remove the discontinuity" of f? in f(x) = (x^3-8)/(x^2-4)

  • one year ago
  • one year ago

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  1. Umangiasd Group Title
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    Restricting the domain to \[\mathbb{R}-\{-2,2\} \]

    • one year ago
  2. jennwatso15 Group Title
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    well I know that the bottom cannot be 2 but I don't understand how to go past there. I've looked up that you factor the top and the bottom but that doesn't help either. I unfortunately had to miss this lecture today and the book is almost as confusing as the proff.

    • one year ago
  3. Umangiasd Group Title
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    Okay, that's a division, so your denominator can't be 0. You have to looik to ALL the cases in which your denominator is equal to 0 SO \[x^2-4=0\leftarrow \rightarrow (x+2)(x-2)=0\] Clearer?

    • one year ago
  4. jennwatso15 Group Title
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    yeah. so the discontinuity is (-2,2) that's where the point would be on the graph?

    • one year ago
  5. jennwatso15 Group Title
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    it ask it in the book how would you define f(2) in order to make f continuous at 2 it would be f(2) = -2

    • one year ago
  6. Umangiasd Group Title
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    no no no, that are the values of X in which your function is not defined. that means you don't have f(-2) nor f(2) To make it continuos you'll have to use continuity definition a function is continue for x=a if \[\lim_{x \rightarrow a}f(x)=f(a)\]

    • one year ago
  7. jennwatso15 Group Title
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    ok so how would you use that function you wouldn't plug it in? sorry I'm also trying to look through the book as you explain as well

    • one year ago
  8. jennwatso15 Group Title
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    ok in the book it shows an example right after the where it talks about the continuity definition and what it does it shows you how to find what the domain is for the bottom then it shows putting in what x approaches to like in this one lim x approaches -2 so they sub in the -2 and that's all it shows.

    • one year ago
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spraguer (Moderator)
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is replying to Can someone tell me what button the professor is hitting...

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