Difference between an oblique and horizontal asymptote?

Question

anonymous · Answer

if numerator is one degree larger than denominator you have oblique asymtote

askme12345 · Answer

how do you find the horizontal asymptote/oblique?

anonymous · Answer

horizontal is very easy. if you have same degree numerator and denominator , just divide the coeficcient 

             4x^2
       --------------   = >  4/2 = > horizontal retricemtote=> y=2
            2 x^2

askme12345 · Answer

what about vertical? thanks so much!!

anonymous · Answer

vertical or oblique?

askme12345 · Answer

I need to know both haha -

anonymous · Answer

Vertical

for vertical asymtote , look for where function is inderminant(0 in denominator)
(x^2-3x)
------------
(x-5)

in this case when x=5 , denominator is 0 which makes function inderminant

so vertical asymtote
x=5

anonymous · Answer

Oblique when numerator is one degree bigger than denominator (x^3+x^2+x+1)/(x^2+x+1) use long division to divide it out http://www4b.wolframalpha.com/Calculate/MSP/MSP53619icgb4di5hgchfe00003fc2e54f7d06c4a5?MSPStoreType=image/gif&s=21&w=204&h=131 y=x is our oblique asymtote