Question

Find all vertical and slant asymptotes (if any) of the function:
f(x) = x^3/(x^2-4x+4)

Answer 1

definitly a veritcal asymptote at 2

Answer 2

to find the slant asymptote, divide

Answer 3

or just turn sideways

Answer 4

?

Answer 5

slant, sideways........fail joke

Answer 6

when you divide you will get
\[x+4+\frac{\text{stuff}}{(x-2)^2}\]and the slant asymptote is
\[y=x+4\]

Answer 7

ah i am a little slow. slant!

Answer 8

lol stuff.

Answer 9

Divide with long division?

Answer 10

yeah
long division, but you can stop after you get
\[x+4\] because the remainder is unimportant for the slant