anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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anonymous
  • anonymous
the curve will approach a point on the graph but never actually touch it
anonymous
  • anonymous
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
anonymous
  • anonymous
What about the vertical asymptotes?

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anonymous
  • anonymous
here's a picture of a vertical asymptote http://mathworld.wolfram.com/Asymptote.html
anonymous
  • anonymous
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
anonymous
  • anonymous
I just read that horizontal asymptotes can be touched and even crossed. Whay does that happens. What are more importat? vertical or horizontal?
anonymous
  • anonymous
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
anonymous
  • anonymous
both are important, but vertical asymptotes may be more so
anonymous
  • anonymous
Last question...what is the physical meaning of horizontal asymptotes?
anonymous
  • anonymous
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
anonymous
  • anonymous
ahhh ok. Thank you very much. Your a lifesaver
anonymous
  • anonymous
np anytime....hope that all made sense
anonymous
  • anonymous
sure it does :)

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