Sketch each curve from its domain, intercepts and asymptotes

Sketch each graph, clearly indicating asymptotes, axial intercepts and coordinates of any turning points.

(a) $y=2x^3-5x^2+x-2$.

(b) $y=4x^2e^x$.

(c) $y=\ln x/(2x)$.

(d) $y=(x^2+2x-8)/(x^2+2x-3)$.

(e) $y=|2x-x^2|$.

(f) $y=(ax+1)/(x-b)$, where (i)−1<a<0,0<b<1; or (ii)a<−1,b>1. What happens if ab+1=0?