document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=674471>Question 674471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the slant asymptote of the graph of the rational function and graph it\r<BR>\n" );
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document.write( "F(x)=x^2-x-6/x-4\r<BR>\n" );
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document.write( "2.  Determine the symmetry of the graph of f\r<BR>\n" );
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document.write( "Find the y-intercepts\r<BR>\n" );
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document.write( "Find the x-intercpts\r<BR>\n" );
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document.write( "Find the vertical asymptote(s)\r<BR>\n" );
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document.write( "Find the Horizontal asymptote </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419252 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=419252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the slant asymptote of the graph of the rational function and graph it<BR>\n" );
document.write( "Use synthetic division to find the quotient<BR>\n" );
document.write( "4)....1....-1....-6<BR>\n" );
document.write( "......1....3....|..6\r<BR>\n" );
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document.write( "slant asymptote = x+3<BR>\n" );
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document.write( "F(x)=x^2-x-6/x-4<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "F(x) = [(x-3)(x+2)] / (x-4)<BR>\n" );
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document.write( "2. Determine the symmetry of the graph of f<BR>\n" );
document.write( "f(-x) = [x^2 +x -6] / (-x-4)<BR>\n" );
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document.write( "f(x) does not equal f(-x) so no y-axis symmetry.<BR>\n" );
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document.write( "-f(-x) = [x^2+x-6] /(x+4)<BR>\n" );
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document.write( "f(x) does not equal -f(-x) so no origin symmetry.<BR>\n" );
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document.write( "Find the y-intercepts<BR>\n" );
document.write( "Let x = 0, then y = -6/-4 = 3/2<BR>\n" );
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document.write( "Find the x-intercpts <BR>\n" );
document.write( "Let y = 0, solve [(x-3)(x+2)] = 0<BR>\n" );
document.write( "x = 3 or x = -2<BR>\n" );
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document.write( "Find the vertical asymptote(s)::::<BR>\n" );
document.write( "Solve x+4 = 0<BR>\n" );
document.write( "x = -4<BR>\n" );
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document.write( "Find the Horizontal asymptote:::::none because degree of numerator is<BR>\n" );
document.write( "greater than degree of denominator.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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