document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208750>Question 208750</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the graph of the equation y=x cubed -x is symmetric with respect to which of the following?\r<BR>\n" );
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document.write( "A)the x-axis\r<BR>\n" );
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document.write( "B)the y-axis\r<BR>\n" );
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document.write( "C)the origin\r<BR>\n" );
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document.write( "D)none of these<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157864 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=157864\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the graph of the equation y=x cubed -x is symmetric with respect to which of the following? <BR>\n" );
document.write( "A)the x-axis <BR>\n" );
document.write( "B)the y-axis <BR>\n" );
document.write( "C)the origin <BR>\n" );
document.write( "D)none of these<BR>\n" );
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document.write( "Look at f(x), f(-x), and -f(-x)<BR>\n" );
document.write( "f(x) = x^3-x<BR>\n" );
document.write( "f(-x) = -(x^3)-x<BR>\n" );
document.write( "-f(-x) = x^3 + x<BR>\n" );
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document.write( "Since f(x) = -f(-x) the function is symmetric to the origin.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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