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Math Help - Rational function graphing

  1. #1
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    Rational function graphing

    This is a general question. How do you figure out how many curves there are in a rational function graph. I know that there are curves at the zeroes, but I saw that there were curves that do not cross any zeroes. How do you find these?
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  2. #2
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    Hi hellojellojw

    The curve depends on the equation of the function. I think you can start by using google to learn about it.
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  3. #3
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    Uhh...I mean I know how to graph rational functions. I find the zeroes, horizontal, diagonal, and or vertical asymptotes, and then graph. Now when I graph, I use a sign line and figure out all the curves that cross the zeroes. What I do not get, is why there are more curves than zeroes. I did some research, and I think the answer is just to plug in numbers on either side of the vertical asymptotes to find coordinates?
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  4. #4
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    Hi hellojellojw

    I don't get what you mean by "there are more curves than zeroes". Maybe you can explain more or give an example of the graph?
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  5. #5
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    I think he might be talking about when he makes a table and starts plugging in numbers to make the actual curves. There could be some horizontal and vertical asymptotes but the number of curves is > the number of zeros that make up those asymptotes.

    I think at least.

    You can never cross a vertical asymptote, but you can find that you can cross a y-asymptote.
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