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relative extrema
where it switches between decreasing and increasing or at an endpoint
absolute extrema
from the local maximums, it is the greatest or the least
what extrema do polynomials of even degrees
they have at least an absolute maximum OR an absolute minimum
point of inflection
where the function changes concavity
what extrema do polynomials with an odd degree have
they can only have local maximums and minimums BECAUSE the ends point in different directions