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Math Help - help needed on 2 problems: quadratic functions and vertical/horizontal asymptotes

  1. #1
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    help needed on 2 problems: quadratic functions and vertical/horizontal asymptotes

    I am totally lost on these two homework problems. I've been trying them for hours, but just continue to receive the wrong answer.

    Problem 1: Moved to another thread.

    Problem 2: Determine all vertical & horizontal asymptotes of the function, and graph.

    f(x) = (3X^2 - 5) / (X-2)(X+3)


    If someone could help me out here, I would greatly appreciate it. Thanks in advance!
    Last edited by dasani; April 30th 2007 at 11:21 PM.
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  2. #2
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    Re:

    Re:

    Attached Thumbnails Attached Thumbnails help needed on 2 problems: quadratic functions and vertical/horizontal asymptotes-part1.gif  
    Last edited by qbkr21; April 30th 2007 at 11:25 PM.
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  3. #3
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    Thanks for your quick reply.

    I'm a bit confused about the horizontal asymptote you have given me. He hasn't really explained answers with lim. Everything we've covered in this section has had regular answers simiilar to the vertical asymptote.
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    Re:

    RE:

    Ohhh...I am so sorry, my bad. All that you need to do is set the denominator equal to zero. That is known as your domain and vertical asymptote...

    Horizontal asymptotes in Pre-Calc are either 3 things

    1. If you have equal powers in the numerator and denominator you divide the leading co-efficients, thus how we got y=3
    2. Power on top (numerator) less than power on bottom (denominator) you will have a Horizontal Asymptote at y=0
    3. If the Power on top (numerator) is greater than power on bottom (denominator) you will have a Slant Asymptote so you need to Synthetically divide the denominator into the numerator...
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  5. #5
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    Quote Originally Posted by qbkr21 View Post
    RE:

    Ohhh...I am so sorry, my bad. All that you need to do is set the denominator equal to zero. That is known as your domain and vertical asymptote...
    But would that work when trying to figure out the horizontal asymptote?
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  6. #6
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    Re:

    No that's Vertical Asymptote. Please see my updated post
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  7. #7
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    Thank you so much, I understand it now.
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    Re:

    Re:
    Attached Thumbnails Attached Thumbnails help needed on 2 problems: quadratic functions and vertical/horizontal asymptotes-part2.gif  
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    Re:

    Great!
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  10. #10
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    Yes, your list of 3 things made it very clear. I did exactly what you just showed me, and it everything makes sense now.

    Thank you so much!
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