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Math Help - Horizontal asymptotes

  1. #1
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    Horizontal asymptotes

    I completely forgot everything about asympotes and I received some homework with these 2 questions:

    Find the horizontal asymptotes of each:

    1. y = [(x^2) - (6x^4)]/(3x^4) + 8
    2. y = tan^-1(e^x)

    Any help would be much appreciated. I'm not looking for direct answers, I need to learn how to do this, so if you can please show the steps involved that would be great.

    Thanks
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  2. #2
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    bump i really need help on this please
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  3. #3
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    Quote Originally Posted by GameTheory View Post
    I completely forgot everything about asympotes and I received some homework with these 2 questions:

    Find the horizontal asymptotes of each:

    1. y = [(x^2) - (6x^4)]/(3x^4) + 8
    What happens to the fraction as y goes to + or - infinity? Note that the denominator is of higher degree than the numerator.

    2. y = tan^-1(e^x)
    Look at a graph of tan(x).

    Any help would be much appreciated. I'm not looking for direct answers, I need to learn how to do this, so if you can please show the steps involved that would be great.

    Thanks
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  4. #4
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    I thought the degree of the numerator and the denominator are the same. The degree of the numerator is 4 (-6x^4) and the degree of the denominator is: also 4 (3x^4).

    Following the rules then the horizontal asymptote should be -6/3 which is -2 but when i graph it on my ti-83 no horizontal asymptote shows up
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