Need help creating rational function no clue where to start

[jbirdwell]

b]1. Homework Statement [/b]

lim f(x) = 2 x -> infinty

lim f(x) = -2 x-> - infinty

lim f(x) = - infinty x-> -4

lim f(x) = - infinty x-> 2-

lim f(x) = infinty x-> 2+


relative min of 0 at x=2
relative max of -0.900466 at x=0.442818
concave down (-infinty, -4) (-4,-2) (6.835351, infinty)
concave up (2,6.835351)
x-inter (4,0)
y-inter (0,-1)
vertical asymptotes at x=2, x=4

Homework Equations

The Attempt at a Solution

a table on the concaves up and downs

 

[Mark44]

b]1. Homework Statement [/b]

lim f(x) = 2 x -> infinty

lim f(x) = -2 x-> - infinty

lim f(x) = - infinty x-> -4

lim f(x) = - infinty x-> 2-

lim f(x) = infinty x-> 2+


relative min of 0 at x=2
relative max of -0.900466 at x=0.442818
concave down (-infinty, -4) (-4,-2) (6.835351, infinty)
concave up (2,6.835351)
x-inter (4,0)
y-inter (0,-1)
vertical asymptotes at x=2, x=4

Homework Equations

The Attempt at a Solution

a table on the concaves up and downs

What have you tried?
These limits are vertical asymptotes, and have to do with linear factors in the denominator to the power 1 or 2.
lim f(x) = - infinty x-> -4
lim f(x) = - infinty x-> 2-
lim f(x) = infinty x-> 2+

 

[jbirdwell]

i haven't tried anything I am lost

 

[Mark44]

According to the rules of this forum (see Rules), you need to make an effort before we can give you any help.

 

[jbirdwell]

i have a table of the concaves to and attempted a function

 

[Mark44]

Well, then, show us your attempts. We aren't going to just give you the answer.