document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=971228>Question 971228</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the slant asymptote of the graph of the rational function and b.\r<BR>\n" );
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document.write( "f(x)=x^2+x-2/x-3\r<BR>\n" );
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document.write( "b.) Use the slant asymptote to graph the rational function. \r<BR>\n" );
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document.write( "** determine the symmetry of the graph of f<BR>\n" );
document.write( "** find the y-intercepts<BR>\n" );
document.write( "** find the x-intercepts<BR>\n" );
document.write( "** find the vertical asymptote </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #593801 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=593801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A matter of polynomial division; the quotient is the slant asymptote and the remainder will tend toward 0 as x goes to the left or right unbounded.\r<BR>\n" );
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document.write( "Choosing synthetic division,\r<BR>\n" );
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document.write( "_________3_________|_________1________1________-2<BR>\n" );
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document.write( "___________________|_________________3________12<BR>\n" );
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document.write( "____________________________1________4________10\r<BR>\n" );
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document.write( "Remainder is 10; which would represent <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F%28x-3%29 ALIGN=MIDDLE  ALT=\"10%2F%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The slant asymptote is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=x%2B4%29 ALIGN=MIDDLE  ALT=\"highlight%28y=x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "y-intercept?  Let x=0 and evaluate f.\r<BR>\n" );
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document.write( "x-intercepts?   Check for roots of the numerator.<BR>\n" );
document.write( "Discriminant, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-4%28-2%29=9 ALIGN=MIDDLE  ALT=\"1-4%28-2%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-1%2B-+3%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-1%2B-+3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=-2  or  x=1/2.\r<BR>\n" );
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document.write( "Vertical asymptote?  Where is the function undefined? </SPAN>\n" );
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