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Math Help - Rational Function help please!!

  1. #1
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    Rational Function help please!!

    hi i was wondering what the range of x^2-4/ x^3-3x^2-10x is?


    i know the horizontal asympotote is 0 and the vertical asymptote is 0 and 5...but i dont understand what the range is and the interval of increase/decrease?...

    if someone could help me find those to things, i would be really appreciative
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  2. #2
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    As for the range, first find out where the function is undefinable. Try graphing it.
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  3. #3
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    umm ok well its undefined at the y intercept. >2/0
    THE x intercept is at 2...and there is no y intercept. aslo i know that it goes down as x->0 from the left and as x->5 from the left and it goes up as x->0 from the right and as x-> 5 from the right.
    but..stll dont know how to find the range or the increase/decrease intervals
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  4. #4
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    It sounds like you already know the intervals. But as I said earlier about finding where it is undefinable, what i am trying to say is

    If h(x) = f(x)/g(x), then anywhere where you can solve the equaion h(x) = k is the range of h. If that doesn't help check out this example.



    Good luck.
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