SOLUTION: I need to make a rational function with a horizontal asymptote at y=3, vertical asymptote at x=2 and is never negative and figure out if it has any roots.

Algebra ->  Rational-functions -> SOLUTION: I need to make a rational function with a horizontal asymptote at y=3, vertical asymptote at x=2 and is never negative and figure out if it has any roots.      Log On


   

Question 1003519: I need to make a rational function with a horizontal asymptote at y=3, vertical asymptote at x=2 and is never negative and figure out if it has any roots.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
3%28x%5E2%29%2F%28x-2%29%28x-2%29 maybe the simplest you may determine. Root will be at x=0.

Answer by ikleyn(52842) About Me  (Show Source):
You can put this solution on YOUR website!
.
The plot below is in support of the previous solution:



Figure. Plot of %283x%5E2%29%2F%28x-2%29%28x-2%29