SOLUTION: I was trying to graph f(x) = (x-4)/((x^2)-4) and I stumbled across a problem. Based on the notes I took, the horizontal asymptote would be y=0, since the the degree of the denomina

Question 965956: I was trying to graph f(x) = (x-4)/((x^2)-4) and I stumbled across a problem. Based on the notes I took, the horizontal asymptote would be y=0, since the the degree of the denominator is greater than the degree of the numerator. Yet when I plug in x=0, I get y=0 as an answer. Is there no horizontal asymptote for this equation? Why does y=0 if it's not supposed to?
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
Arithmetic mistake in your finding y=0. Otherwise, your asymptote judgement is good.

A different view:

Another view:

RELATED QUESTIONS
Sorry, I had a typo on my previous question. Here is the fixed one: I was trying to... (answered by josgarithmetic)

Good evening, I'm trying to find the y-intercept of the following:... (answered by robertb,Alan3354,mananth)

I need to graph this function. I need the domain, range and horizontal asymptote.... (answered by jim_thompson5910)

f(x)=(2x-4)/(x^2-6x-16): What is the vertical asymptote, horizontal asymptote,... (answered by htmentor)

Quadratic-relations-and-conic-sections/443131 (2011-05-01 05:06:45): I have been trying... (answered by rwm)

I have been trying to solve the below problem for some time now, Determine the vertical... (answered by rwm)

I seem to be having problems with the graphing portions. I never know what the graph is... (answered by stanbon)

Hello! I need help solving this. f(x)= x^2-3x-18/(x^2-4) What is the domain of the (answered by Boreal,MathLover1)

I need help with this question: find the horizontal asymptote of the graph of... (answered by scianci)