document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=13405>Question 13405</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Your help is always appreciated.\r<BR>\n" );
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document.write( "Is the following relation odd, even, both or neither?  x^2 + y^2=16\r<BR>\n" );
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document.write( "Thank You. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #6767 by </B><A HREF=/tutors/aboutme.mpl?userid=askmemath><B>askmemath(368)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=askmemath><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=6767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A function f(x) is defined as being even if f(x) = f(-x)<BR>\n" );
document.write( "and odd if f(-x) = -f(x) since this does not equal f(x)\r<BR>\n" );
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document.write( "In the given equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+y%5E2 ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 16\r<BR>\n" );
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document.write( "Even if we put -x and -y in place of x and y the value does not change since the square on both variables removes the negative sign.\r<BR>\n" );
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document.write( "Hence the expression is Even </SPAN>\n" );
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