Question 1208052
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The function is a polynomial with only odd powers, so it is an odd function.<br>
The graph of an odd function is symmetrical with the origin.  So, if there is a local minimum at (3,-54), there is a local maximum at (-3,54).<br>
ANSWER: local maximum 54 at x=-3<br>
{{{graph(400,400,-5,5,-80,80,x^3-27x)}}}<br>