document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192442>Question 192442</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the points of discontinuity, holes, vertical asymptotes,x-intercept, and horizontal asymptote of the problem\r<BR>\n" );
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document.write( "f(x)=     x^2+x-6<BR>\n" );
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document.write( "         -4x^2-16x-12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144480 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=144480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What are the points of discontinuity, holes, vertical asymptotes,x-intercept, and horizontal asymptote of the problem <BR>\n" );
document.write( "f(x)= (x^2+x-6) / (-4x^2-16x-12)<BR>\n" );
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document.write( "Factored Form:<BR>\n" );
document.write( "f(x) = [(x+3)(x-2)] / [-4(x+3)(x+1)]<BR>\n" );
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document.write( "Pts of discontinuity: x = -3 and x = -1<BR>\n" );
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document.write( "holds: x = -3 because (x+3) is a factor of numerator and denominator<BR>\n" );
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document.write( "vertical asymptote at x = -1<BR>\n" );
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document.write( "horizontal asymptote = x^2/-4x^2 = -1/4<BR>\n" );
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document.write( "x-intercept:<BR>\n" );
document.write( "Let y = 0 ; solve for \"x\"<BR>\n" );
document.write( "x = 2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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