document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39325>Question 39325</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. f(x)= x^+3x-4 divide over x^+5x-6\r<BR>\n" );
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document.write( "find va vertical asymptote<BR>\n" );
document.write( "     ha horizontal asymptote<BR>\n" );
document.write( "     x-intercept<BR>\n" );
document.write( "     y=intercept<BR>\n" );
document.write( "     and graph it w the t chart  plz help me solve this problem thank you<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 #24818 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=24818\">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+=+%28x%5E2%2B3x-4%29%2F%28x%5E2%2B5x-6%29+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+%28x%5E2%2B3x-4%29%2F%28x%5E2%2B5x-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+=+%28%28x%2B4%29%28x-1%29%29%2F%28%28x%2B6%29%28x-1%29%29+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+%28%28x%2B4%29%28x-1%29%29%2F%28%28x%2B6%29%28x-1%29%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+=+%28x%2B4%29%2F%28x%2B6%29+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+%28x%2B4%29%2F%28x%2B6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, we are to avoid x+6=0, which is when x=-6. This the vertical asymptote.\r<BR>\n" );
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document.write( "Now for the horizontal one:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%28x%2B6%29+=+x%2B4+ ALIGN=MIDDLE  ALT=\"+y%28x%2B6%29+=+x%2B4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+xy%2B6y+=+x%2B4+ ALIGN=MIDDLE  ALT=\"+xy%2B6y+=+x%2B4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+xy-x+=+4-6y+ ALIGN=MIDDLE  ALT=\"+xy-x+=+4-6y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%28y-1%29+=+4-6y+ ALIGN=MIDDLE  ALT=\"+x%28y-1%29+=+4-6y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%284-6y%29%2F%28y-1%29+ ALIGN=MIDDLE  ALT=\"+x+=+%284-6y%29%2F%28y-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, we are to avoid y-1=0, which is when y=1. this is the horizontal asymptote.\r<BR>\n" );
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document.write( "So, plot the axes and draw the 2 dotted asymptotes. We need a couple of points to anchor the 2 halves of the plot.\r<BR>\n" );
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document.write( "So, when x=0, we have y=4/6 --> y=2/3<BR>\n" );
document.write( "and when y=0, we have x=4/(-1) --> x=-4\r<BR>\n" );
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document.write( "Plot these 2 points and draw a curve in the quadrant joining these points and heading towards the asymptotes. Then draw a matching curve in the diagonally opposite quadrant of your graph.\r<BR>\n" );
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document.write( "If you want to, pick some random value of x, say x=-5 and find y. It should be a small-ish negative y-value, since the curve crosses the x-axis at x=-4.\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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