Nobody in my class gets this stuff, I have no idea what the heck the teacher is explaining..

-It's increasing/decreasing behavior, critical points, relative extrema

-concavity and points of inflection

-Vertical, Horizontol, and slant asymptotes

-use the info to sketch the curve, use tables for f' and f''

1.x^4 - 4x^3 +16x

I found the vertical asymptote is 2.. But how do I find the slant asymptote? There's no other factor to use long division to find it..

2.3x^(2/3) - 2x

4. (x^2+1)/(x^2-2)

I found the H.A. is 1.. How do I find the V.A(The denominator is never zero..)