Question 1208051
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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 maximum at (2,16), there is a local minimum at (-2,-16).<br>
ANSWER: local minimum -16 at x=-2<br>
{{{graph(400,400,-5,5,-30,30,-x^3+12x)}}}<br>