document.write( "Question 696571: Please is f(x) = x^4 - 4x^2 an even or odd or neither odd nor even function. This is my attemp. f(-x) = -x^4 - (-4x^2)
\n" ); document.write( "=-x^4+4x^2
\n" ); document.write( "=-(x^4-4x^2) \n" ); document.write( "
Algebra.Com's Answer #429127 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
The rules are:\r
\n" ); document.write( "\n" ); document.write( "1. Substitute (-x) for x in the equation
\n" ); document.write( "2. Simplify
\n" ); document.write( "3. (a) If the right side is exactly the same as the
\n" ); document.write( "original right side, then its graph is symmetrical
\n" ); document.write( "with respect to the y-axis, which means it is even.
\n" ); document.write( " (b) If the right side is like the original except
\n" ); document.write( "that it is multiplied by -1,then its graph is symmetrical
\n" ); document.write( "with respect to the origin, which means it is odd.
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\n" ); document.write( " (c) If neither (a) or (b) apply then it is neither
\n" ); document.write( "an even function or an odd function.\r
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\n" ); document.write( "\n" ); document.write( " f(x) = x4 - 4x2\r
\n" ); document.write( "\n" ); document.write( "1. f(-x) = (-x)4 - 4(-x)2\r
\n" ); document.write( "\n" ); document.write( "2. f(-x) = x4 - 4x2\r
\n" ); document.write( "\n" ); document.write( "That's exactly the same right side as the original. So it's
\n" ); document.write( "even.\r
\n" ); document.write( "\n" ); document.write( "Edwin \n" ); document.write( "
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