Question

curve sketching help

Answer 1

\[f(x)=\frac{ x ^{2}-1 }{x ^{3} }\]

Answer 2

zeros are at \(x=-1\) and \(x=1\)
vertical asymptote at \(x=0\) since that is where the denominator is equal zero
horizontal asymptote at \(y=0\) since the degree of the numerator is less than the degree of the denominator

Answer 3

looks like this
http://www.wolframalpha.com/input/?i=%28x^2-1%29%2Fx^3