document.write( "Question 1208042: Determine algebraically if each function is even, odd, or neither. \r
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\n" ); document.write( "\n" ); document.write( "A. f(x) = (2x^2 + 1)^(1/3)\r
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Algebra.Com's Answer #846179 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "(A)  In the formula for function  f(x) = (2x^2 + 1)^(1/3)  replace  x  by  -x.\r\n" );
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document.write( "     You will see that the value f(-x) is the same as the value of f(x).\r\n" );
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document.write( "     It means that this function f(x) is even.\r\n" );
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document.write( "(B)  In the formula for function  g(x) =   replace  x  by  -x.\r\n" );
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document.write( "     You will see that the value g(-x) is of opposite sign comparing with g(x).\r\n" );
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document.write( "     It means that this function g(x) is odd.\r\n" );
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document.write( "     By the way, the formula for g(x), after canceling/reducing is\r\n" );
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document.write( "          g(x)= 1  for  x > 0,   g(x) = -1  for x < 0,   which also points that g(x) is an odd function.\r\n" );
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