If you know how to find both vertical and horizontal asymptotes of rational functions: Which do you think is more difficult? Write a paragraph in which you briefly describe each process, and give reasons why you think one process is more difficult than the other.

Question

anonymous · Answer

they are both easy , but I guess verticals are usually slightly easier than horizontals.

anonymous · Answer

vertical is easy to write at least.  "set denominator = 0 and solve"

anonymous · Answer

VA's occur at the value(s) of x that cause the denominator to become zero. so for example, if the denomator was $$y=x \over x-3$$ the VA would be x =3 because if you plug in 3 for x the denominator becomes 0. both exponents that are with x , are 1, if the exponents are equal in both the numerator and denominator you take the leading coefficient, 1/1, which is y= to 1, which would be the horizontal retricemptote for the equation.

anonymous · Answer

I started to see a few of these essay type questions recently, good idea, I think.

anonymous · Answer

horizontal asymptote you have thee cases 
1) degree of numerator is bigger than degree of denominator.  NO HORIZONTAL ASYMPTOTE
2) degree of denominator is bigger than degree of numerator: HORIZONTAL ASYMPTOTE 
$$y=0$$
3) degrees are the same; HORIZONTAL ASYMPTOTE 
$$y=\frac{\text{leading coefficient}}{\text{leading coeffiecient}}$$