Consider the polynomial P(x), shown in both standard and factored form

P(x) = 1/2 x^3 - x^2 - 11/2 x +6 = 1/2 (x-1)(x-4)(x+3)

1. sketch the end behavior of the polynomial function (diagonal left /, diagonal right \, upward U, downward n)

2. state the zeros of the function

3. state the y-intercept

4. Graph P(x)