document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=889563>Question 889563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that f(x)= \r<BR>\n" );
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document.write( "(5x) <BR>\n" );
document.write( "_________ <BR>\n" );
document.write( "(x^2)&#8722;x&#8722;6 \r<BR>\n" );
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document.write( "(that is supposed to be fraction form- did it like that to prevent confusion)\r<BR>\n" );
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document.write( "a. Determine the domain of f <BR>\n" );
document.write( "b. Determine the vertical asymptote(s), if any, of the graph of f <BR>\n" );
document.write( "c. Determine the horizontal asymptote(s), if any, of the graph of f <BR>\n" );
document.write( "d, Sketch the graph of f </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #538253 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=538253\">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=f%28x%29=+5x%2F%28x%5E2-x-6%29 ALIGN=MIDDLE  ALT=\"f%28x%29=+5x%2F%28x%5E2-x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+5x%2F%28x-3%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29=+5x%2F%28x-3%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a. Determine the domain of f <BR>\n" );
document.write( "all real numbers except x&#8800;3 or x&#8800;-2<BR>\n" );
document.write( "(-&#8734;,-2) U (-2, 3) U (3,&#8734;)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b. Determine the vertical asymptote(s), if any, of the graph of f <BR>\n" );
document.write( "x=3 and x=-2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c. Determine the horizontal asymptote(s), if any, of the graph of f <BR>\n" );
document.write( "y=0 or x-axis<BR>\n" );
document.write( "..<BR>\n" );
document.write( "number line:<BR>\n" );
document.write( "<....-...-2...+...0...-...3..+...><BR>\n" );
document.write( "..<BR>\n" );
document.write( "d, Sketch the graph of f<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%285x%29%2F%28x%5E2-x-6%29%29 ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%285x%29%2F%28x%5E2-x-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );