How can you identify the asymptotes of a rational function simply by looking at its graph? What inaccuracies might be introduced into this process? What might be a more accurate way to find a function's asymptotes?

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How can you identify the asymptotes of a rational function simply by looking at its graph? What inaccuracies might be introduced into this process? What might be a more accurate way to find a function's asymptotes?

Mathematics
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Give examples of at least one rational function with asymptotes in your explanation, and identify the asymptotes.
Where does the visually represented asymptote cross the x-axis? Of course, without an actual LABEL that it crosses at EXACTLY where you think, you are only guessing.

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