document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197127>Question 1197127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation for a rational function with <BR>\n" );
document.write( "vertical asymptotes at x=-5 and x=6<BR>\n" );
document.write( "x intercepts at x=2 and x=-2<BR>\n" );
document.write( "y intercept at 7 <BR>\n" );
document.write( "y= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #830255 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=830255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for a rational function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=p%28x%29%2Fq%28x%29+ ALIGN=MIDDLE  ALT=\"y=p%28x%29%2Fq%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > with:\r<BR>\n" );
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document.write( "vertical asymptotes at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6+ ALIGN=MIDDLE  ALT=\"x=6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > => we have in denominator <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29 ALIGN=MIDDLE  ALT=\"%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29 ALIGN=MIDDLE  ALT=\"%28x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as factors\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%28x%29=%28x%2B5%29%28x-6%29 ALIGN=MIDDLE  ALT=\"q%28x%29=%28x%2B5%29%28x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>denominator\r<BR>\n" );
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document.write( "so far, your function is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=p%28x%29%2F%28%28x%2B5%29%28x-6%29%29+ ALIGN=MIDDLE  ALT=\"y=p%28x%29%2F%28%28x%2B5%29%28x-6%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > intercepts 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;\" >and <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;\" > => we have in numerator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as factors\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%28x%29=%28x-2%29%28x%2B2%29+ ALIGN=MIDDLE  ALT=\"p%28x%29=%28x-2%29%28x%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28%28x-2%29%28x%2B2%29+%29%2F%28%28x%2B5%29%28x-6%29%29+ ALIGN=MIDDLE  ALT=\"y=%28%28x-2%29%28x%2B2%29+%29%2F%28%28x%2B5%29%28x-6%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > intercept at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=k%28%28%28x-2%29%28x%2B2%29+%29%2F%28%28x%2B5%29%28x-6%29%29%29 ALIGN=MIDDLE  ALT=\"y=k%28%28%28x-2%29%28x%2B2%29+%29%2F%28%28x%2B5%29%28x-6%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=> plug in<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=0 ALIGN=MIDDLE  ALT=\"+x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=7 ALIGN=MIDDLE  ALT=\"y+=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > in above function and find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7=k%28%280-2%29%280%2B2%29%29+%2F%28%280%2B5%29%280-6%29%29+ ALIGN=MIDDLE  ALT=\"7=k%28%280-2%29%280%2B2%29%29+%2F%28%280%2B5%29%280-6%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7=k%282%2F15%29+ ALIGN=MIDDLE  ALT=\"7=k%282%2F15%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2A15=2k ALIGN=MIDDLE  ALT=\"7%2A15=2k\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=52.5 ALIGN=MIDDLE  ALT=\"k=52.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2852.5%28x-2%29%28x%2B2%29+%29%2F%28%28x%2B5%29%28x-6%29%29 ALIGN=MIDDLE  ALT=\"y=%2852.5%28x-2%29%28x%2B2%29+%29%2F%28%28x%2B5%29%28x-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2852.5%28x%5E2-4+%29%29%2F%28x%5E2+-+x+-+30%29 ALIGN=MIDDLE  ALT=\"y=%2852.5%28x%5E2-4+%29%29%2F%28x%5E2+-+x+-+30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+600%2C+600%2C+-100%2C+100%2C+-100%2C+100%2C%0D%0Agreen%28line%28-5%2C100%2C-5%2C-100%29%29%2Cgreen%28line%286%2C100%2C6%2C-100%29%29%2C%0D%0Acircle%28-2%2C0%2C.3%29%2C+circle%282%2C0%2C.3%29%2Clocate%28-2%2C1.5%2Cp%28-2%2C0%29%29%2Clocate%282%2C1.5%2Cp%282%2C0%29%29%2C%0D%0A%0D%0Agraph%28+600%2C+600%2C+-100%2C+100%2C+-100%2C+100%2C+%2852.5%28x%5E2-4+%29%29%2F%28x%5E2+-+x+-+30%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "zoom in to see intercepts\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Agreen%28line%28-5%2C10%2C-5%2C-10%29%29%2Cgreen%28line%286%2C10%2C6%2C-10%29%29%2C%0D%0Acircle%28-2%2C0%2C.12%29%2C+circle%282%2C0%2C.12%29%2Clocate%28-2%2C0.5%2Cp%28-2%2C0%29%29%2Clocate%282%2C0.5%2Cp%282%2C0%29%29%2C%0D%0A%0D%0Agraph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%2852.5%28x%5E2-4+%29%29%2F%28x%5E2+-+x+-+30%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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