document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927566>Question 927566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> analyze and graph of the function<BR>\n" );
document.write( "f(x)= x^2-2x-3/x+17<BR>\n" );
document.write( "a) what is the domain of f(x)<BR>\n" );
document.write( "b)What is the equation of the vertical asymptotes of f(x)<BR>\n" );
document.write( "c)what is the equation of the horizontal or oblique asymptote of f(x)<BR>\n" );
document.write( "d)graph it<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563074 by </B><A HREF=/tutors/aboutme.mpl?userid=brysca><B>brysca(112)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=brysca><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=brysca><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=563074\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-2x-3%29%2F%28x%2B17%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-2x-3%29%2F%28x%2B17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x cannot equal -17 since you cannot divide by zero. In graphical terms, this means a vertical asymptote of x=-17<BR>\n" );
document.write( "a) Domain ( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >, -17) U (-17, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >) <BR>\n" );
document.write( "b) x= -17<BR>\n" );
document.write( "c) y= x-19 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=brysca&illustration_name=sol_927566\">.<BR>\n" );
document.write( "d)Although this graph shows a good example, it does not show the second part of the graph starting from -17 to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So, keep in mind that you need to draw the second graph as well using the asymptote equations given.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-25%2C25%2C-25%2C25%2C%28x%5E2-2x-3%29%2F%28x%2B17%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-25%2C25%2C-25%2C25%2C%28x%5E2-2x-3%29%2F%28x%2B17%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "hope this helps! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );