document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176583>Question 176583</A>: <I><SPAN STYLE=\"word-break: break-all;\"> G(x)=/1-x/-/3x+7/ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131896 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=131896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming the brackets signify absolute value??<BR>\n" );
document.write( "Break the problem down into 3 distinct regions based on the arguments of the absolute value functions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B7%3C0 ALIGN=MIDDLE  ALT=\"3x%2B7%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%3C-7 ALIGN=MIDDLE  ALT=\"3x%3C-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C-7%2F3 ALIGN=MIDDLE  ALT=\"x%3C-7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-x%3C0 ALIGN=MIDDLE  ALT=\"1-x%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%3C-1 ALIGN=MIDDLE  ALT=\"-x%3C-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E1 ALIGN=MIDDLE  ALT=\"x%3E1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "and in between these two regions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F3%3Cx%3C1 ALIGN=MIDDLE  ALT=\"-7%2F3%3Cx%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In the region where x<-7/3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%281-x%29=%281-x%29 ALIGN=MIDDLE  ALT=\"abs%281-x%29=%281-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%283x%2B7%29=-%283x%2B7%29 ALIGN=MIDDLE  ALT=\"abs%283x%2B7%29=-%283x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The function then becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G%28x%29=%281-x%29-%28-%283x%2B7%29%29 ALIGN=MIDDLE  ALT=\"G%28x%29=%281-x%29-%28-%283x%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G%28x%29=%281-x%29%2B%283x%2B7%29%29 ALIGN=MIDDLE  ALT=\"G%28x%29=%281-x%29%2B%283x%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G%28x%29=2x%2B8 ALIGN=MIDDLE  ALT=\"G%28x%29=2x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "In the region where x>1, then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%281-x%29=-%281-x%29 ALIGN=MIDDLE  ALT=\"abs%281-x%29=-%281-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%283x%2B7%29=%283x%2B7%29 ALIGN=MIDDLE  ALT=\"abs%283x%2B7%29=%283x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The function then becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G%28x%29=-%281-x%29-%283x%2B7%29 ALIGN=MIDDLE  ALT=\"G%28x%29=-%281-x%29-%283x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G%28x%29=-1%2Bx-3x-7%29%29 ALIGN=MIDDLE  ALT=\"G%28x%29=-1%2Bx-3x-7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G%28x%29=+-2x-8 ALIGN=MIDDLE  ALT=\"G%28x%29=+-2x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Finally in between these two regions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F3%3Cx%3C1 ALIGN=MIDDLE  ALT=\"-7%2F3%3Cx%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%281-x%29=%281-x%29 ALIGN=MIDDLE  ALT=\"abs%281-x%29=%281-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%283x%2B7%29=%283x%2B7%29 ALIGN=MIDDLE  ALT=\"abs%283x%2B7%29=%283x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The function then becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G%28x%29=%281-x%29-%283x%2B7%29 ALIGN=MIDDLE  ALT=\"G%28x%29=%281-x%29-%283x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G%28x%29=+-4x-6%29%29 ALIGN=MIDDLE  ALT=\"G%28x%29=+-4x-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C++-5%2C+4%2C+-15%2C+10%2Cgrid%28+1+%29%2C%0D%0Acircle%28+-7%2F3%2C+10%2F3%2C+.2+%29%2C+%0D%0Acircle%28+1%2C+-10%2C+.2+%29%2C+%0D%0Agraph%28+300%2C+300%2C+-5%2C+4%2C+-15%2C+10%2C+2x%2B8%2C-2x-8%2C-4x-6%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Red : G(x)=2x+8<BR>\n" );
document.write( "Blue :G(x)= -4x-6<BR>\n" );
document.write( "Green :G(x)=-2x-8<BR>\n" );
document.write( "The circles show the break points of x=-7/3 and x=1.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Here is the graph trimmed of the extraneous regions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-5%2C+4%2C+-15%2C+10%2C+abs%281-x%29-abs%283x%2B7%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-5%2C+4%2C+-15%2C+10%2C+abs%281-x%29-abs%283x%2B7%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );