document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30912>Question 30912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sketch the graph of the function defined by f(x)= -3/x+3<BR>\n" );
document.write( "give the equation of its vertical asymptote. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17676 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=17676\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)= (-3) / (x + 3)<BR>\n" );
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document.write( "This will be a sideways hyperbola....<BR>\n" );
document.write( "Here are some points: <BR>\n" );
document.write( "(0,-1);(-1,-3/2);(-2,-3);(-3,undefined);(-4,3);(-5,3/2);(-6,1)<BR>\n" );
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document.write( "the \"angle shaped\" line will not cross the y=0 constant line;<BR>\n" );
document.write( "also, the vertical asymptote is x=-3 -- because in the equation, if you plug in -3, you get -3/0 and that is undefined </SPAN>\n" );
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