1. The problem statement, all variables and given/known data Sketch the graph of the polynomial function. Make sure your graph shows all intercepts and exhibits the proper behavior. No calculator allowed. P(x)=x(x-3)(x+2) 2. Relevant equations P(x)=x(x-3)(x+2) 3. The attempt at a solution P(x)=x(x-3)(x+2) 0(x-3)(x+2)=0 x(3-3)(x+2)=0 x(x-3)(-2+2)=0 Zeros: 0, 3, -2 Degree: 1+1+1=3 (Odd) Leading Coefficient: 1 (Positive) Multiplicities: 1, 1, 1 Therefore, I have X-Intercepts at all of the zeros. However, I am confused as to how I determine what direction the graph goes at different intervals and whether it bounces or goes through the zeros. Any help is greatly appreciated.