document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208052>Question 1208052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For f(x) = x^3 - 27x, there is a local minimum value of -54 at 3. Determine the local maximum 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 minimum at (3,-54), there is a local maximum at (-3,54).<br><BR>\n" );
document.write( "ANSWER: local maximum 54 at x=-3<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-5%2C5%2C-80%2C80%2Cx%5E3-27x%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-5%2C5%2C-80%2C80%2Cx%5E3-27x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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