document.write( "Question 336017: Determine algebraically whether f(x) = |x^3-x|+3cos(x) is even, odd, or neither. And i need to know how you got the answer, thanks. \n" ); document.write( "

Algebra.Com's Answer #241377 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29=abs%28x%5E3-x%29%2B3cos%28x%29\"$
\n" ); document.write( " $\"f%28-x%29=abs%28%28-x%5E3%29-%28-x%29%29%2B3cos%28-x%29\"$
\n" ); document.write( "From trigonometry,
\n" ); document.write( " $\"cos%28x%29=cos%28-x%29\"$
\n" ); document.write( " $\"f%28-x%29=abs%28-x%5E3%2Bx%29%2B3cos%28x%29\"$
\n" ); document.write( " $\"f%28-x%29=abs%28%28-1%29%28x%5E3-x%29%29%2B3cos%28x%29\"$
\n" ); document.write( " $\"f%28-x%29=abs%28x%5E3-x%29%2B3cos%28x%29\"$
\n" ); document.write( " $\"f%28-x%29=f%28x%29\"$
\n" ); document.write( "So the function is even.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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