document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154134>Question 154134</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Discuss the symmetry of the function y =  - x 5 / (x 2 – 8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113441 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=113441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Discuss the symmetry of the function y = - x^5 / (x^2 – 8)<BR>\n" );
document.write( "Compare f(x), f(-x), and -f(-x)<BR>\n" );
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document.write( "f(x) = - x^5 / (x^2 – 8)<BR>\n" );
document.write( "f(-x) = x^5 / (x^2 - 8)<BR>\n" );
document.write( "-f(-x) = -x^5/(x^2 -8)<BR>\n" );
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document.write( "Since f(x) and f(-x) are not the same, the function is not symmetric to the y-axis; it is NOt EVEN.<BR>\n" );
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document.write( "Sinc f(x) and -f(-x) are the same, the function is symmetric to the origin:<BR>\n" );
document.write( "it is ODD.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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