Question

Find a rational function with a graph resembling this: http://tinyurl.com/7hzwfpc
Any help is appreciated, thank you.

Answer 1

Where is the graph?

Answer 2

you already have the answer?

Answer 3

nope its different look carefully

Answer 4

ya asymptotes are different

Answer 5

my approximation: \[\frac{1 + x}{(5 - x) (3 + x)|7 + x|}\] http://tinyurl.com/7ypy7rq is nearly same with the graph except for -7<x<-3 it's concave up (it should be down) all asymptotes are the same though

Answer 6

no asymtotes are not same?

Answer 7

do you know what are asymptotes?????

Answer 8

vertical asymptotes at -3 , -7 , and 5, am I wrong? :o

Answer 9

A line that continually approaches a given curve but does not meet it at any finite distance.

Answer 10

yes, it is, another way of phrasing it is tangent at infinity , so what's wrong about it ??

Answer 11

which asymptote is different?

Answer 12

wait i am confused between the one that is in your question amd the one from wolfram

Answer 13

I will reopen the question (and merge the images) then to make it crystal clear, sorry for the confusion

Answer 14

\[
-\frac{x+1}{(x-5) (x+3)^2 (x+7)}
\]

Answer 15

at x=-3, it does not have to change sign. That is why we squared (x+3)

Answer 16

ah it does make sense, thank you!

Answer 17

yw