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)= x²-3x/x+3

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

x-int (x,y)= ( ) (smaller x-value)

x-int (x,y)= ( ) (larger x-value)

y-int (x,y)= ( )

also sketch the graph of f.