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OpenStudy (anonymous):
what is the maximum number of local extrema (maxima or minima) the graph of the function can have? f(x)=x^3-x^2-4x+4
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OpenStudy (anonymous):
consider that since it's of degree \(3\) by the fundamental theorem of algebra it could cross the \(x\)-axis at most \(3\) times
OpenStudy (anonymous):
now consider how many peaks and troughs it could have, then:|dw:1376254912873:dw|
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