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.

Question

anonymous · Answer

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.

anonymous · Answer

Does that make any sense?