Question

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.

Answer 1

Let's assume you have (3x^2-7)/(x^2-9). On the off chance that you take a gander at the diagram, you won't not confirm that the flat asymptote is at 3, yet in the event that you take the breaking point as x goes to endlessness, you in the long run observe that the level asymptote is 3.