document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153233>Question 1153233</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y=|x−3|+|x+2|−|x−5|, if  3<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 #775420 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=775420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "You have not posted a question....  I will assume you want a graph.<br><BR>\n" );
document.write( "In any function like this, every segment of the graph is linear; and the general behavior of the graph changes only at the critical points -- where one of the terms is 0.<br><BR>\n" );
document.write( "So the behavior of the graph of this function changes only at -2, 3, and 5.  And since the specified interval is from x=3 to x=5, the graph on that interval is linear.<br><BR>\n" );
document.write( "Determine the linear function on that interval using the function values at the two endpoints of the interval:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29+=+0%2B5-2+=+3 ALIGN=MIDDLE  ALT=\"f%283%29+=+0%2B5-2+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%285%29+=+2%2B7-0+=+9 ALIGN=MIDDLE  ALT=\"f%285%29+=+2%2B7-0+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The linear equation with a graph passing through (3,3) and (5,9) is y = 3x-6.<br><BR>\n" );
document.write( "Here is a graph of the given function and the line y=3x-6 on the interval (2,6),showing that the two functions are equivalent on the interval (3,5):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C2%2C6%2C-2%2C12%2Cabs%28x-3%29%2Babs%28x%2B2%29-abs%28x-5%29%2C3x-6%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C2%2C6%2C-2%2C12%2Cabs%28x-3%29%2Babs%28x%2B2%29-abs%28x-5%29%2C3x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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