SOLUTION: Hi I am so confused on this question. I have to create a rational function that satisfies: No Vertical Asymptotes Horizontal Asymptote y=-2 Hole at x=-1 I tried y= -2(x-1)/(x

Algebra ->  Rational-functions -> SOLUTION: Hi I am so confused on this question. I have to create a rational function that satisfies: No Vertical Asymptotes Horizontal Asymptote y=-2 Hole at x=-1 I tried y= -2(x-1)/(x      Log On


   

Question 1027340: Hi I am so confused on this question. I have to create a rational function that satisfies:
No Vertical Asymptotes
Horizontal Asymptote y=-2
Hole at x=-1
I tried y= -2(x-1)/(x+1), but when i graphed it, it was a straight line.
Thanks in advance for your help (:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
NOT a hole at x=-1. That is a vertical asymptote. NOW try again.


Trying to build what you want:
Hole at x=-1.
y=something%28x%2B1%29%2F%28x%2B1%29

No vertical asymptote.
Consistant again with y=something%28x%2B1%29%2F%28x%2B1%29;

Horizontal asymtptote y=-2.
Degree of numerator and denominator must be equal.
End behavior would approach y=-2.
%28x%2B1%29%2F%28x%2B1%29 will be 1, but remains undefined at x=-1.

highlight%28y=-2%28x%2B1%29%2F%28x%2B1%29%29
This is rational and also a line, but will have the needed hole at x=-1. Broken line at one particular point.