document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149337>Question 149337</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395885787/algebrahomeworkh>Caluculus of Single Variable </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Sketch the graph of f(x)= (x^2-4)/(x-2); where X is not = to 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109581 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=109581\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2Cgrid%28+1+%29%2Ccircle%28+-2%2C+0%2C+.3+%29%2Cgraph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%5E2-4%29%2F%28x-2%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "The circle at x=-2 signifies that no value for f(x) is given there.<BR>\n" );
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document.write( "Algebraically, what's going on is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-4%29=%28x%2B2%29%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-4%29=%28x%2B2%29%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So when you do the division,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-4%29%2F%28x-2%29=%28x%2B2%29%28x-2%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-4%29%2F%28x-2%29=%28x%2B2%29%28x-2%29%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-4%29%2F%28x-2%29=x%2B2 ALIGN=MIDDLE  ALT=\"%28x%5E2-4%29%2F%28x-2%29=x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The graph looks like the line, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B2 ALIGN=MIDDLE  ALT=\"y=x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, except at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > where it is undefined, because of division by zero.\r<BR>\n" );
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