document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=466661>Question 466661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8. For the following function find the vertical, horizontal, and oblique asymptotes, if any. Please show all of your work. <BR>\n" );
document.write( "f(x)=16x²/3x²-17x+10 <BR>\n" );
document.write( "                     +7<BR>\n" );
document.write( " \r<BR>\n" );
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document.write( "I appreciate any help!Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #319948 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=319948\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the following function find the vertical, horizontal, and oblique asymptotes, if any. Please show all of your work. <BR>\n" );
document.write( "f(x)=16x²/3x²-17x+10 <BR>\n" );
document.write( "---<BR>\n" );
document.write( "Horizontal asymptote: y = 16/3 = 5 1/3<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "To get the vertical asymptotes, factor the denominator:<BR>\n" );
document.write( "3x62-17x+10 = (3x-2)(x-5)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Vertical asymptotes at x = 2/3 and x = 5<BR>\n" );
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document.write( "Graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C16x%5E2%2F%283x%5E2-17x%2B10%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C16x%5E2%2F%283x%5E2-17x%2B10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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