for f(x)=(4-x^3)/(x^2)?

Question

a)find x-intercepts and y-intercepts if any
b)find asymptotes(horizontal , vertical, and oblique) if any
c)find the intervals where f is increasing and the intervals where f is decreasing and the relative extrema.
d)Find the open intervals where f is concave up and the open intervals where f is concave down and the infliction points if any

Answer 1

a) There are no y intercepts because when x=0, f(0)=undefined; the x intercepts occur when x^3=4, or x=cuberoot(4).
b) There is a vertical asymptote at x=0; there are no horizontal or oblique asymptotes.