Given function $f(x)=\frac{3x^2-1}{x^3}$

$($a$)$ Domain and range

$($b$)x-$intercept

$($c$)y-$intercept

$($d$)$ Intervals of increasing and decreasing

$($e$)$ Maximum and minimum points

$($f$)$ Intervals of concave up and concave down

$($g$)$ Inflection points

$($h$)$ Horizontal and vertical asymptotes

$($i$)$ Sketch the graph using points $(a-h)$