document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163935>Question 163935</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help!<BR>\n" );
document.write( "Determine whether the graph of y=|4x| is symmetric with respect to the x-axis, the y-axis, or the origin.<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 #120764 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=120764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine whether the graph of y=|4x| is symmetric with respect to the x-axis, the y-axis, or the origin.<BR>\n" );
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document.write( "f(x) = |4x|<BR>\n" );
document.write( "f(-x) = |-4x|= |-1|*|4x| = |4x|<BR>\n" );
document.write( "-f(-x) = -|4x|<BR>\n" );
document.write( "-f(x) = -|4x|<BR>\n" );
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document.write( "Since f(x)=f(-x) you have symmetry wrt the y-axis.<BR>\n" );
document.write( "Since f(x) is not equal to -f(-x) you do not have origin symmetry.<BR>\n" );
document.write( "f(x) and -f(x) are two different functions; no x-axis symmetry.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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