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anonymous

  • 5 years ago

According to the following link, a vertical asymptotes indicate very specific behavior in the function. Can you explain what type of behavior is the author talking about? http://www.purplemath.com/modules/asymtote2.htm

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  1. anonymous
    • 5 years ago
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    the curve will approach a point on the graph but never actually touch it

  2. anonymous
    • 5 years ago
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    for example x^2/(x-3) will approach the value of 3, but since it cannot be divided by zero it will never actually reach 3

  3. anonymous
    • 5 years ago
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    What about the vertical asymptotes?

  4. anonymous
    • 5 years ago
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    here's a picture of a vertical asymptote http://mathworld.wolfram.com/Asymptote.html

  5. anonymous
    • 5 years ago
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    in that example the curve approaches 0, but instead of the x value ever reaching 0 it keeping getting closer and closer to 0 without ever touching it while the y value continues to infinity

  6. anonymous
    • 5 years ago
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    I just read that horizontal asymptotes can be touched and even crossed. Whay does that happens. What are more importat? vertical or horizontal?

  7. anonymous
    • 5 years ago
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    horizontal asymptotes can be crossed when near to the center of the graph.....and the graph continues onward it will eventually behave similarly to a vertical asymptote and no longer cross it

  8. anonymous
    • 5 years ago
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    both are important, but vertical asymptotes may be more so

  9. anonymous
    • 5 years ago
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    Last question...what is the physical meaning of horizontal asymptotes?

  10. anonymous
    • 5 years ago
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    im not entirely sure what that question means, but i think the answer theyre looking for is that the curve will approach a number which is the limit for the function as x goes to infinity

  11. anonymous
    • 5 years ago
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    ahhh ok. Thank you very much. Your a lifesaver

  12. anonymous
    • 5 years ago
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    np anytime....hope that all made sense

  13. anonymous
    • 5 years ago
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    sure it does :)

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