document.write( "Question 329550: If -1<=x<=1 then what is the maximum possible value of x^3-x^2-x=1?
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Algebra.Com's Answer #236238 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"graph%28300%2C300%2C-1%2C1%2C-2%2C1%2Cx%5E3-x%5E2-x-1%29\"$
\n" ); document.write( " $\"f%28x%29=x%5E3-x%5E2-x-1\"$
\n" ); document.write( " $\"df%2Fdx=3x%5E2-2x-1=0\"$
\n" ); document.write( " $\"%283x%2B1%29%28x-1%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x-1=0\"$
\n" ); document.write( " $\"x=1\"$
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\n" ); document.write( " $\"3x%2B1=0\"$
\n" ); document.write( " $\"3x=-1\"$
\n" ); document.write( " $\"x=-1%2F3\"$
\n" ); document.write( "The max. value occurs at $\"x=-1%2F3\"$ .
\n" ); document.write( " $\"f%28-1%2F3%29=-1%2F27-1%2F9%2B1%2F3-1\"$
\n" ); document.write( " $\"f%28-1%2F3%29=-22%2F27\"$
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