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find the holes and vertical sysmptote: y=2x^3 +3/ x^2 +2
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well there is a slant asymptote and you would get that by dividing 2x^3 +3 by x^2 +2
and id think that there are any discontinuities but i'm not 100% sure :/
y=2x^3 +3/ x^2 +2 has no restrictions or holes
vertical asymptote: x = 1/2
no the degree on numerator is higher so va is not 1/2
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