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burhan101 Group Title

Long divide

  • one year ago
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  1. burhan101 Group Title
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    |dw:1352343487773:dw|

    • one year ago
  2. burhan101 Group Title
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    vertical asymptote

    • one year ago
  3. burhan101 Group Title
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    how do I long divide this to find the vertical asymptote of the function and the range ?

    • one year ago
  4. seitys Group Title
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    Remember that you can divide in parts so that (3x-1)/x is the same as (3x/x) - (1/x). The 3x/x can be simplified to 3. When you graph this function, it is just 1/x shifted up 3 spaces. For example if x = 1, y = 3 + 1/1 = 4. As for the asymptote, it is at x = 0 because 1/x is not defined when x = 0.

    • one year ago
  5. CliffSedge Group Title
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    (long division is for horizontal or slant asymptotes, not vertical asymptotes, but yeah, that's a way to do it.)

    • one year ago
  6. CliffSedge Group Title
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    |dw:1352347692738:dw|

    • one year ago
  7. burhan101 Group Title
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    how did you get 1/3 ? :S

    • one year ago
  8. CliffSedge Group Title
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    Vertical asymptotes are where the denominator is equal to zero.

    • one year ago
  9. CliffSedge Group Title
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    If you meant as your function, \[\large \frac{3x-1}{x}\] Then the vertical asymptote is at x=0. You only use long division to find slant asymptotes.

    • one year ago
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