document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230592>Question 230592</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For this question I already have a picture of the graph, so I can see the end result, but I do not know how to get to it. Thanks for your help!\r<BR>\n" );
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document.write( "Graph the function:\r<BR>\n" );
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document.write( "f(x)=<BR>\n" );
document.write( "{x+1          if -8&#8804;x<5<BR>\n" );
document.write( "{-8           if x=5<BR>\n" );
document.write( "{-x+8             if x>5\r<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 #170766 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=170766\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is called a \"piecewise function.  The graph has to be drawn in 3 pieces.\r<BR>\n" );
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document.write( "Over the interval from x= -8 to x=5, draw the graph of y=x+1, but ONLY from x= -8 to x=5.  Put an SOLID circle at the value of x=-8 since this endpoint IS included.  This is the point (-8,-7).  On the other end of the line segment, at x=5, put an OPEN circle, since this end point is NOT included.  This would be the point (5,6).\r<BR>\n" );
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document.write( "Next,  at x =5, plot the point (5, -8).  This is just an isolated point that may or may not connect with the other line segments.\r<BR>\n" );
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document.write( "Finally, for values of x larger than 5, all the way to infinity, graph the line y=-x+8.  Plot the point (5, 3) with an OPEN circle, and from this point graph  the line y=-x+8, which has a slope of -1.  As an example you could let x=6, then y=2, or x=8 and y=0.  Connect these dots, and continue the line to infinity.\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole State College of Florida<BR>\n" );
document.write( "Altamonte Springs Campus\r<BR>\n" );
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