document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=741394>Question 741394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I need help with this problem please!\r<BR>\n" );
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document.write( "The problem is f(x)=(x^2-2x+5)/(x+3)\r<BR>\n" );
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document.write( "I need to know:<BR>\n" );
document.write( "Holes?<BR>\n" );
document.write( "Vertical asymptote(s)?<BR>\n" );
document.write( "Horizontal asymptote(s)?<BR>\n" );
document.write( "Slant asymptote(s)?<BR>\n" );
document.write( "y-intercept?<BR>\n" );
document.write( "x-intercept?<BR>\n" );
document.write( "And a sketch of the graph.\r<BR>\n" );
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document.write( "thank you!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #452003 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39627)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=452003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will tell you just this much:\r<BR>\n" );
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document.write( "It appears to not have any hole, since the numerator is not perfectly divisible by the denominator.  There is a vertical asymptote at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, because that is where the function is undefined, since denominator would be zero.\r<BR>\n" );
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document.write( "Try performing the division.  There will be a remainder.  The quotient portion is the slant asymptote.  Use synthetic division:\r<BR>\n" );
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document.write( "-3____|____1_____-2_____5<BR>\n" );
document.write( "______|___________-3____15<BR>\n" );
document.write( "__________________________<BR>\n" );
document.write( "______|____1_____-5_____20<BR>\n" );
document.write( "_________ ___ x-5_________remainder 20\r<BR>\n" );
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document.write( "The slant asymptote would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=x-5 ALIGN=MIDDLE  ALT=\"+y=x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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