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(Step-by-Step) For each of the following, sketch a graph of the polynomial function. In each case, by discussing things such as end behavior and multiplicity

Question: For each of the following, sketch a graph of the polynomial function. In each case, by discussing things such as end behavior and multiplicity of roots, explain why you drew the graph that you did. (2 points each)

\[h(x)={{x}^{3}}-{{x}^{2}}-6x\]
\[h(x)={{x}^{3}}(x-2)(x+1)\]
\[h(x)={{(x+1)}^{2}}{{(x-7)}^{2}}\]

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(Step-by-Step) For each of the following, sketch a graph of the polynomial function. In each case, by discussing things such as end behavior and multiplicity

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