document.write( "Question 817061: Is the following even odd or neither.\r
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document.write( "F(x)= 3x^5 - 8x^3 \n" );
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Algebra.Com's Answer #491870 by Edwin McCravy(20059)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "odd. It is a polynomial with only odd powers of x.\r\n" ); document.write( "\r\n" ); document.write( "A polynomial with only odd powers of x is always an odd function.\r\n" ); document.write( "A polynomial with only even powers of x is always an even function.\r\n" ); document.write( "(A constant term is considered an even power).\r\n" ); document.write( "\r\n" ); document.write( "That is true ONLY for polynomial functions. For other kinds of\r\n" ); document.write( "functions you must test by substituting (-x) for x, and after\r\n" ); document.write( "simplifying, the function is the same, then it's even. If it\r\n" ); document.write( "is the same except multiplied by -1 it is an odd function.\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |