document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=860505>Question 860505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the parabolic asymptote of the function.\r<BR>\n" );
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document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x%5E3+-+4x%5E2+-+x+%2B+4%29%2F%283x+-+5%29 ALIGN=MIDDLE  ALT=\"%286x%5E3+-+4x%5E2+-+x+%2B+4%29%2F%283x+-+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518454 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=518454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q:<BR>\n" );
document.write( "Find the parabolic asymptote of the function.\r<BR>\n" );
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document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x%5E3+-+4x%5E2+-+x+%2B+4%29%2F%283x+-+5%29 ALIGN=MIDDLE  ALT=\"%286x%5E3+-+4x%5E2+-+x+%2B+4%29%2F%283x+-+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "A:<BR>\n" );
document.write( "First we divide the numerator by the denominator.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=reviewermath&illustration_name=long_division\"><BR>\n" );
document.write( "The result is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+2x+%2B+3+%2B+19%2F%283x+-+5%29 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+2x+%2B+3+%2B+19%2F%283x+-+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The fractional part <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2F%283x+-+5%29 ALIGN=MIDDLE  ALT=\"19%2F%283x+-+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > approaches zero as x decreases without bound. Therefore, the parabolic asymptote is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+2x%5E2+%2B+2x+%2B+3%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+2x%5E2+%2B+2x+%2B+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Here's the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=reviewermath&illustration_name=parabola\"> </SPAN>\n" );
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