Missed a few classes so I don't know how to do this.
a) Substitute really large negative values of x. What kind of numbers are you getting for the value of y?
b) Similarly, substitute large values of positive x.
c) y intercept is when x = 0. Substitute x = 0 into the equation and solve for y.
d) The zeroes are the x intercepts. Substitute y = 0 into the equation and solve for x. Multiplicity is the number of times in the equation where a specific root exist. For example, if a polynomial has zeroes 0,2,2,4,4,4 it has roots 0 of multiplicity 1, root 2 of multiplicity 2, and root 4 of multiplicity 3. Remember that for a polynomial of power n, it must have n roots.
Even without calculus, you should be able to graph the equation using these information.