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.


  1. The graph of the function [crosses straight through / is tangent to] the x-axis at -6.
  2. The graph of the function [crosses straight through / is tangent to] the x-axis at 0.
  3. The graph of the function [crosses straight through / is tangent to] the x-axis at 1.
  4. The graph of the function [crosses straight through / is tangent to] the x-axis at 4.