document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=714176>Question 714176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show work please.<BR>\n" );
document.write( "find the slant asymptote of the graph of the rational function and Use the slant asymptote to graph the rational function.\r<BR>\n" );
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document.write( "f(x)=    x^2-x-20<BR>\n" );
document.write( "        -------------------------<BR>\n" );
document.write( "        x-6\r<BR>\n" );
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document.write( "b.) first determine the symmetry of the graph of f.<BR>\n" );
document.write( "c.) find the x and y-intercepts<BR>\n" );
document.write( "d.) find the asymptotes.\r<BR>\n" );
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document.write( "thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #438776 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=438776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the slant asymptote of the graph of the rational function and Use the slant asymptote to graph the rational function. <BR>\n" );
document.write( "f(x)= (x^2-x-20)/(x-6)<BR>\n" );
document.write( "f(x)=(x-5)(x+4)/(x-6)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b.) first determine the symmetry of the graph of f.<BR>\n" );
document.write( "Graph has no symmetry as can be seen by the graph below.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c.) find the x and y-intercepts<BR>\n" );
document.write( "y-intercept:<BR>\n" );
document.write( "set x=0<BR>\n" );
document.write( "y-intercept=-20/-6=10/3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x-intercept:<BR>\n" );
document.write( "set y=0<BR>\n" );
document.write( "x^2-x-20<BR>\n" );
document.write( "(x-5)(x+4)=0<BR>\n" );
document.write( "x-intercepts at 5 and-4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "d.) find the asymptotes.<BR>\n" );
document.write( "vertical asymptote:<BR>\n" );
document.write( "set denominator=0, then solve for x<BR>\n" );
document.write( "x-6=0<BR>\n" );
document.write( "vertical asymptote: x=6<BR>\n" );
document.write( "..<BR>\n" );
document.write( "slant asymptote:<BR>\n" );
document.write( "divide numerator by denominator:<BR>\n" );
document.write( "(x^2-x-20)/(x-6)=(x+5)+remainder<BR>\n" );
document.write( "slant asymptote: y=x+5<BR>\n" );
document.write( "..<BR>\n" );
document.write( "number line<BR>\n" );
document.write( "<...-....-4....+.....5....-.....6....+.....>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-50%2C+50%2C+-50%2C+50%2C+%28x%5E2-x-20%29%2F%28x-6%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-50%2C+50%2C+-50%2C+50%2C+%28x%5E2-x-20%29%2F%28x-6%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );