document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55709>Question 55709</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine algebraically whether this function is odd, even, both, or neither: <BR>\n" );
document.write( "f(x) = (3[x]) / (1-x^2)<BR>\n" );
document.write( "(the [x] is an absolute value) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37792 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=37792\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = |3x| / (1-x^2)<BR>\n" );
document.write( "f(-x)= |-3x| / (1-x^2)<BR>\n" );
document.write( "-f(-x)= -|-3x| / (1-x^2)\r<BR>\n" );
document.write( "\n" );
document.write( "Since f(x)= f(-x) the function is even<BR>\n" );
document.write( "Comment: If you doubt this try some values of \"x\"<BR>\n" );
document.write( "in f(x) and the same values in f(-x).<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Since f(x) does not equal -f(-x) the function is<BR>\n" );
document.write( "not odd.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );