document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61921>Question 61921</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need some help please\r<BR>\n" );
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document.write( "If f(x)=4X^3-x symmetric with respect to the x-axis, the y- axis, the origin or none of these\r<BR>\n" );
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document.write( "thanks for your time </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42649 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=42649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is f(x)=4X^3-x symmetric with respect to the x-axis, the y- axis, the origin or none of these?<BR>\n" );
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document.write( "f(x)=4x^3-x<BR>\n" );
document.write( "-f(x)= -4x^3+x<BR>\n" );
document.write( "f(-x)= -4x^3+x<BR>\n" );
document.write( "-f(-x)=4x^3-x<BR>\n" );
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document.write( "y-axis symmetry if f(x)=f(-x)<BR>\n" );
document.write( "Not the same so no y-axis symmetry<BR>\n" );
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document.write( "x-axis symmetry if f(x)=-f(x)<BR>\n" );
document.write( "Not the same so no x-axis symmetry<BR>\n" );
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document.write( "origin symmetry if f(x)=-f(-x)<BR>\n" );
document.write( "Yes, so there is origin symmetry<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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