Find the asymptotes of the following function and situation regarding elllas curve:

$$f (x)= \frac{ x ^{2} }{ x-3 }$$

Question

Find the asymptotes of the following function and situation regarding elllas curve:

$$f (x)= \frac{ x ^{2} }{ x-3 }$$

anonymous · Answer

well we know x cannot be 3 because this would make the denominator 0

anonymous · Answer

there is no horizontal asymptote bcz the degree f denominator is high than numerator .
for vertical asymptote set denominator equal to zero
x-3=0
x=3

anonymous · Answer

also a "slant" asymptote if you need it

anonymous · Answer

just as a side note:
if the degree of numerator and denominator is equal then the Horizontal asymptote is just the ratio of the coefficients of the highest degrees .for Example
y=(3x+6)/(5x-7)  
since the degree of x in both numerator and denominator is 1 so horizontal asymptote. should be ratio of the coefficients.
y=3/5 is the horizontal asymptote.
if you have 
y=(5x^2+9)/(6x^2+8)
since degree of both numerator and denominator is same so
y=5/6 is horizontal asymptote
.
for vertical asymptote you need to solve denominator by setting it equal to zero.
if you have
y=(x+6)/(x+5)
so set denominator equal to zero
x+5=0
or
x=-5 is vertical asymptote.