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6. What is the behavior of the graph of y = x²(x - 1) along the x-axis? A. The graph crosses both (0,0) and (1, 0) B. The graph crosses X-axis at (1, 0) and is tangent to the x-axis at (0, 0) C. The graph crosses x-axis at (0, 0) and is tangent to the x - axis at (1, 0) D. The graph is tangent to the x-axis at both (0,0) and (1,0).
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Answer:

If the graph crosses the x-axis and appears almost linear at the intercept, it is a single zero. If the graph touches the x-axis and bounces off of the axis, it is a zero with even multiplicity. If the graph crosses the x-axis at a zero, it is a zero with odd multiplicity.

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