SOLUTION: Identify all asymptotes and holes in the graph of the following rational function: f(x) = ((2x^3+6x^2)/(x^2-x-12))

Question 134844: Identify all asymptotes and holes in the graph of the following rational function:
f(x) = ((2x^3+6x^2)/(x^2-x-12))
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Asymptotes occur when the denominator is zero.
So what values of x make the denominator 0?

x = 4, x =-3
asymptotes are the lines x=4 and x=-3
Holes occur when both the numerator and denominator are 0.

So we have a hole at x = -3
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