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Local extrema of an n-th degree polynomial
At most n - 1 peaks and valleys.
Horizontal intercepts of an n-th degree polynomial
At most n horizontal intercepts.
End behavior of an even-degree polynomial
Both arms up or both arms down.
End behavior of an odd-degree polynomial
Left arm up and right arm down, or left arm down and right arm up.
Piecewise functions context
Used in the context of applied problems.