Question

Find all the intercepts and asymptotes of y= (x^2+3x/[(3x+1)^2]

Answer 1

\[ \large y=\frac{x^2+3x}{(3x+1)^2} \]
right??

Answer 2

Yes. I just need help with the asymptotes now though. Already figured out the intercepts.

Answer 3

for the vertical asymptotes solve
\[ \large (3x+1)^2=0 \]

Answer 4

So -1/3?

Answer 5

yes

Answer 6

do u know limits??

Answer 7

Vaguely remember.

Answer 8

well, do u need horizontal asymptotes??

Answer 9

Technically No since after looking at a graph, it does not exist (limit wise) Is that correct?

Answer 10

ok

Answer 11

Is that right or wrong.....

Answer 12

it looks like there is one

Answer 13

Then what is it... I kind of need help.

Answer 14

\[ \large \lim_{x\to\infty}\frac{x^2+3x}{(3x+1)^2}=\frac{1}{3^2} \]
so y=1/9 is the horizontal asymptote