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OpenStudy (anonymous):
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? Give examples of at least one rational function with asymptotes in your explanation, and identify the asymptotes.
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OpenStudy (anonymous):
Say you have (3x^2-7)/(x^2-9). If you look at the graph, you might not determine that the horizontal asymptote is at 3, but if you take the limit as x goes to infinity, you eventually see that the horizontal asymptote is 3.
OpenStudy (anonymous):
Does that make any sense?
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