document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=842193>Question 842193</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, my name is Grace Rogers and I am having trouble finding the symmetries of \r<BR>\n" );
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document.write( "y = cuberoot of x\r<BR>\n" );
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document.write( "How do I know if its symmetrical??\r<BR>\n" );
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document.write( "your help is greatly appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #507423 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=507423\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(-x) is equal to -f(x) so it's symmetrical about the origin.\r<BR>\n" );
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document.write( "the graph of your equation can be seen below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/feb171.jpg\" alt = \"$$$\" < />\r<BR>\n" );
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document.write( "the test for symmetry is generally the following:\r<BR>\n" );
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document.write( "if f(-x) = f(x), then the equation is symmetrical about the y-axis.\r<BR>\n" );
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document.write( "if f(-x) = -f(x), then the equation is symmetrical about the origin.\r<BR>\n" );
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document.write( "if the root is even then (f(-x) will not be equal to -f(x).\r<BR>\n" );
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document.write( "if the root is odd, then (f(-x) will be equal to -f(x).\r<BR>\n" );
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document.write( "cube root of (-27) is equal to -3.<BR>\n" );
document.write( "minus cube root of 27 is equal to minus 3 which is equal to -3.<BR>\n" );
document.write( "they are equal.\r<BR>\n" );
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document.write( "square root of (-25) is equal to 5i.<BR>\n" );
document.write( "minus square root of (25) is equal to -5.<BR>\n" );
document.write( "they are not equal.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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