document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178199>Question 1178199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation for a rational function with:\r<BR>\n" );
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document.write( "Vertical asymptotes at x = −4 and x = −2<BR>\n" );
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document.write( "x intercepts at (−6,0) and (−3,0) \r<BR>\n" );
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document.write( "y intercept at (0,3)<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 #807387 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=807387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Vertical asymptotes at x = −4 and x = −2:<br><BR>\n" );
document.write( "Factors of (x+4) and (x+2) in the denominator<br><BR>\n" );
document.write( "x intercepts at (−6,0) and (−3,0):<br><BR>\n" );
document.write( "Factors of (x+6) and (x+3) in the numerator<br><BR>\n" );
document.write( "So the equation is of the form<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%28x%2B6%29%28x%2B3%29%29%2F%28%28x%2B4%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28a%28x%2B6%29%28x%2B3%29%29%2F%28%28x%2B4%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y intercept at (0,3):<br><BR>\n" );
document.write( "Solve f(0)=3 to find the constant factor a<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%286%29%283%29%29%2F%28%284%29%282%29%29+=+3 ALIGN=MIDDLE  ALT=\"%28a%286%29%283%29%29%2F%28%284%29%282%29%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18a%2F8+=+3 ALIGN=MIDDLE  ALT=\"18a%2F8+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18a+=+24 ALIGN=MIDDLE  ALT=\"18a+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+24%2F18+=+4%2F3 ALIGN=MIDDLE  ALT=\"a+=+24%2F18+=+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284%2F3%29%28x%2B6%29%28x%2B3%29%29%2F%28%28x%2B4%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28%284%2F3%29%28x%2B6%29%28x%2B3%29%29%2F%28%28x%2B4%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-6%2C2%2C-10%2C10%2C%28%284%2F3%29%28x%2B6%29%28x%2B3%29%29%2F%28%28x%2B4%29%28x%2B2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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