SOLUTION: The question is to find the vertical and horizontal asymptote(s) of f(x)= (x^3+8)/(x^2+4)

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Question 147096: The question is to find the vertical and horizontal asymptote(s) of
f(x)= (x^3+8)/(x^2+4)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There are no vertical asymptotes, the denominator does not go to zero.
There are no horizontal asymptotes, as x goes to infinity, the function looks like y=x, as you can see from the graph below.

The second graph shows the behavior of the graph near zero.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+%28x%5E3%2B8%29%2F%28x%5E2%2B4%29%0D%0A%29+