document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=480900>Question 480900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the point plotting method to graph the equation and identify any intercepts. Verify your results using a graph utility. y=x-x^3  Please give me step by step instruction on how to solve this problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #329637 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=329637\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the point plotting method to graph the equation and identify any intercepts. Verify your results using a graph utility. y=x-x^3 Please give me step by step instruction on how to solve this problem.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "y=x-x^3<BR>\n" );
document.write( "factor out x<BR>\n" );
document.write( "y=x(1-x^2)=x(1+x)(1-x)=0<BR>\n" );
document.write( "x-intercepts or zeros:<BR>\n" );
document.write( "x=0<BR>\n" );
document.write( "x=-1<BR>\n" );
document.write( "x=1<BR>\n" );
document.write( "number line:<BR>\n" );
document.write( "<.....+...-1....-.....0.....+....1...-....><BR>\n" );
document.write( "see graph below:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+x-x%5E3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+x-x%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );