document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166029>Question 166029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone please help me with this problem:\r<BR>\n" );
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document.write( "Graph the rational funciton.\r<BR>\n" );
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document.write( "Pf(x) = x+4 / x-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122346 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=122346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's look at the function first.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%2B4%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%2B4%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It is undefined at x=1 (because of division by zero).<BR>\n" );
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document.write( "As you approach x=1 from the left, the numerator is positive, the denominator is negative, f(x) goes to negative infinity.<BR>\n" );
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document.write( "As you approach x=1 from the right, the numerator is positive, the denominator is positive, f(x) goes to positive infinity.<BR>\n" );
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document.write( "As x grow large (negative or positive), the function looks like,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%2Fx=1 ALIGN=MIDDLE  ALT=\"f%28x%29=x%2Fx=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So there is a horizontal asymptote at y=1.<BR>\n" );
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document.write( "f(x) crosses the x-axis when f(x)=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%2B4%29%2F%28x-1%29=0 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%2B4%29%2F%28x-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4=0 ALIGN=MIDDLE  ALT=\"x%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-4 ALIGN=MIDDLE  ALT=\"x=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f(x) cross the x-axis when x=-4.<BR>\n" );
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document.write( "f(x) crosses the y-axis when x=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%2B4%29%2F%28x-1%29=0 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%2B4%29%2F%28x-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280%2B4%29%2F%280-1%29=-4 ALIGN=MIDDLE  ALT=\"%280%2B4%29%2F%280-1%29=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4 ALIGN=MIDDLE  ALT=\"y=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f(x) crosses the y-axis when y=-4.<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+-2%2C+2%2C+1%2C%28x%2B4%29%2F%28x-1%29%29 ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-50%2C+50%2C+-2%2C+2%2C+1%2C%28x%2B4%29%2F%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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