document.write( "Question 696573: Is f(x) = x^5 x an even or odd or neither odd nor even function? This is my attemp. F(-x) =(-x)^5 -x=-(x^5 x) \n" ); document.write( "

Algebra.Com's Answer #429134 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
It's not even, because replacing (x) with (-x) does
\n" ); document.write( "not give the same value of f(x), which is a reflection
\n" ); document.write( "about the vertical axis.
\n" ); document.write( "---------------------
\n" ); document.write( "It is an odd function because replacing (x) with (-x)
\n" ); document.write( "changes the sin of f(x)
\n" ); document.write( " $\"+f%28x%29+=+x%5E5+\"$
\n" ); document.write( " $\"+f%28-x%29+=+%28-x%29%5E5+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "and, likewise
\n" ); document.write( " $\"+f%28-x%29+=+%28-x%29%5E5+\"$
\n" ); document.write( " $\"+f%28x%29+=+x%5E5+\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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