I am very annoyed with these certain problems because I have spend 2.5hrs on them and do not have the full answer... If someone can show me their thinking process for these I would very much appreciate it...

For the first two i basically have the answer, but not the asymptope parts..

Produce Graphs for f that reveal all the important aspects of the curve. In particular you should use graphs of f' and f'' to estimate the intervals of increase and decrease, extreme intervals, intervals of concavity, and inflection pts...

1) f(x) = (X^2-3X-5)^(1/3)

2) f(x) = X/(X^3-X^2-4X+1)

and for the third, "Produce graphs of f that reveal all the important aspects of the curve. Estimate the intervals of increase and decrease and intervals of concavity, use calculus to find these intervals exactly...

3) f(x) = 1+ 1/x + 8/x^2 + 1/X^3

If you could work out these three problems, I would be very thankful. I have graphs already, and i understand dirivitives etc... However for the first two the asymptopes are giving me problems and for the 3rd my exact answer is coming out incorrect each time.. Thank you for your time... any response would be very helpful.