document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208051>Question 1208051</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For f(x) = -x^3 + 12x, there is a local maximum value of 16 at 2. Determine the local minimum value. </SPAN>\n" );
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document.write( "The function is a polynomial with only odd powers, so it is an odd function.<br><BR>\n" );
document.write( "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><BR>\n" );
document.write( "ANSWER: local minimum -16 at x=-2<br><BR>\n" );
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