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Recall that x-intercepts are another name for the roots or zeroes of a polynomial.
generally a root is termed " even " if it is a root an even number of times...similarly for " odd "
has as an even root and as an odd root
at "even " roots the graph touches but does not cross the domain axis..." odd " implies crossing
or
If a root has an multiplicity, the graph will the axis, as with the graph of . If a root has an multiplicity, the graph will the axis, as with the graph of .