Graph the function using algebraic analysis (graphics calculator can help you check).

x² - 3x
_______
2x²-3x-9

a) What is the domain of this function.
b) Name any x-intercepts and y-intercepts in the graph of the function.
c) Name the coordinates of any holes in the graph of the function.
d) State the equations of any asymptotes in the graph of the function.
e) Discuss end behavior as well as behavior close to vertical asymptotes.​