Find the vertical and slant asymptotes for the graph of the given rational function. (Enter your answers as comma-separated lists of equations. If an answer does not exist, enter DNE.)

f(x) = x³ -27/x²-x

also Find x- and y-intercepts of the graph. (If an answer does not exist, enter DNE.)

x-int (x,y) = ( )

y-int (x,y) = ( )

also sketch the graph of f.