How does the multiplicity of a zero determine the behavior of the graph at that zero?

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A seventh degree polynomial function has zeros of −6 (multiplicity of 2), 0, 1 (multiplicity of 3), and 4.

The graph of the function
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the x-axis at −6.

The graph of the function
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the x-axis at 0.

The graph of the function
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the x-axis at 1.

The graph of the function
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the x-axis at 4.