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babydoll332

  • 2 years ago

State the horizontal asymptote of the rational function. f(x) = x^2+6x-8/x-8

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  1. L.T.
    • 2 years ago
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    Can you find the derivative of this function first?

  2. L.T.
    • 2 years ago
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    Set the derivative equal to zero

  3. babydoll332
    • 2 years ago
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    i normally pluged it into the graph

  4. L.T.
    • 2 years ago
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    All right, I'll assume you can't do that now. Is this the equation:\[x ^{2}+\frac{ 6x-8 }{ x-8 }\]

  5. babydoll332
    • 2 years ago
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    i see what u posted @timo86m but idk what the horrizontal is

  6. babydoll332
    • 2 years ago
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    @L.T. ok what would i do

  7. Outkast3r09
    • 2 years ago
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    there is a slant retricemptote.. not a horizontal =/

  8. Outkast3r09
    • 2 years ago
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    lol asymptote... lame chat =]

  9. satellite73
    • 2 years ago
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    the degree of the top is greater than the degree of the bottom therefore no horizontal asymptote no calc needed, that is all

  10. L.T.
    • 2 years ago
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    If what I wrote was the equation, then you find the derivative of each term in the equation, using the quotient rule on the second term.

  11. babydoll332
    • 2 years ago
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    reall no horizontal ?

  12. satellite73
    • 2 years ago
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    if the degree of the bottom was greater, then the horizontal asymptote would be \(y=0\) if the degree of the top is greater no horizontal asymptote

  13. Outkast3r09
    • 2 years ago
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    yes there is a slant use long division

  14. Outkast3r09
    • 2 years ago
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    if you ned to find the slant asymptote

  15. satellite73
    • 2 years ago
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    if the degrees are the same, it is the ration of the leading coefficients that is it

  16. babydoll332
    • 2 years ago
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    so the anserw is no horizontal asymptote

  17. satellite73
    • 2 years ago
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    that is correct. there is none

  18. timo86m
    • 2 years ago
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    it has a slanted asymptote with a slope of 1045/1058

  19. babydoll332
    • 2 years ago
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    ok thank you so much

  20. Outkast3r09
    • 2 years ago
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    how'd you find that @timo86m

  21. timo86m
    • 2 years ago
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    take derivitive of (x^2+6x-8)/(x-8) \[{\frac {2\,x+6}{x-8}}-{\frac {{x}^{2}+6\,x-8}{ \left( x-8 \right) ^{2} }} \] then just plug in a very high or very low value for x It has roughly a V asymptote of 8.5

  22. L.T.
    • 2 years ago
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    My bad; must have misread the question :(

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