(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Homework Help: Polynomial Graph Behavior

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