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Math Help - Limit At Infinity of Absolute Value Function

  1. #1
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    Limit At Infinity of Absolute Value Function

    Along with many other things (namely, finding concavity, increasing/decreasing, inflection, etc.), my teacher assigned to me to find any horizontal asymptotes by using limits at infinity. The function I was given is y = |x^4-9x^2|. I am not exactly certain how to do this sort of thing with absolute value. I end up with
    |infinity^4 - 9infinity^2|, and isn't this some sort of indeterminant form?
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  2. #2
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    Re: Limit At Infinity of Absolute Value Function

    y = |x^4-9x^2| = |x^2(x^2-9)|

    for x \ge 3 or x \le -3 , y = x^2(x^2-9)

    so ... what does happens to y as x gets very large (+) or (-) ?
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