document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=625792>Question 625792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the given equation, list the intercepts and test for symmetry.<BR>\n" );
document.write( "y = x^3 - 216\r<BR>\n" );
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document.write( "I am having a hard time grasping this concept.<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 #393797 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=393797\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the given equation, list the intercepts and test for symmetry.<BR>\n" );
document.write( "y = x^3 - 216<BR>\n" );
document.write( "This equation is a difference of cubes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E3+-+6%5E3 ALIGN=MIDDLE  ALT=\"y+=+x%5E3+-+6%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3-b%5E3=%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29 ALIGN=MIDDLE  ALT=\"a%5E3-b%5E3=%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-6%29%28x%5E2%2B6x%2B36%29 ALIGN=MIDDLE  ALT=\"y=%28x-6%29%28x%5E2%2B6x%2B36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x-intercepts<BR>\n" );
document.write( "set y=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%28x-6%29%28x%5E2%2B6x%2B36%29 ALIGN=MIDDLE  ALT=\"0=%28x-6%29%28x%5E2%2B6x%2B36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=6<BR>\n" );
document.write( "two other roots are non-real <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%5E2-4ac%29%3C0 ALIGN=MIDDLE  ALT=\"%28b%5E2-4ac%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y-intercept<BR>\n" );
document.write( "set x=0<BR>\n" );
document.write( "y=-6*36=-216<BR>\n" );
document.write( "symmetry:none<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-1000%2C+1000%2Cx%5E3-6%5E3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-1000%2C+1000%2Cx%5E3-6%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );