Identify the asymptotes, removable discontinuities, and intercepts for the graph of the function.

d(x)=(x^2-12x+20)/3x

1 answer

clearly as x --> 0
d ---> about +7/x which is plus oo for x>0 and minus oo for x<0

as x gets very large
d --->x^2/3x or x/3

as x gets big negative,
d --> x/3 again which is negative

the numerator is zero when
x = 2 or x = 10
so those are x axis intercepts