As the graph of a function approaches real zeros, the behavior of the line changes in relation to how close the function is to the x-axis. if the multiplicity of the zero is
1 -- the graph crosses through its coordinate (c, 0)
even -- the graph is tangent to the x-axis and bounces or turns at c
odd > 1 -- the graph is tangent to the x-axis and crosses at (c,0)

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