document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62422>Question 62422</A>: <I><SPAN STYLE=\"word-break: break-all;\"> this is for college algebra graph: F(x)= -2/x-3 that is -2 over x-3: this is for college algebra graph: F(x)= -2/x-3 that is -2 over x-3<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 #43178 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=43178\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this is for college algebra graph: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%28x%29=-2%2F%28x-3%29 ALIGN=MIDDLE  ALT=\"F%28x%29=-2%2F%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The numerator's degree is less than the denominator, therefore the is a horizontal asymptote with the equation y=0 (that's the x-axis). <BR>\n" );
document.write( "This rational function is undefined when the denominator=0.  There is a vertical asymptote at that point.<BR>\n" );
document.write( "x-3=0<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( "Pick points to plot on the left and right side of the vertical asymptote.<BR>\n" );
document.write( "Let x=1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%281%29=-2%2F%281-3%29 ALIGN=MIDDLE  ALT=\"F%281%29=-2%2F%281-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%281%29=-2%2F-2 ALIGN=MIDDLE  ALT=\"F%281%29=-2%2F-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%281%29=1 ALIGN=MIDDLE  ALT=\"F%281%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Plot (1,1)<BR>\n" );
document.write( "Let x=2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%282%29=-2%2F%282-3%29 ALIGN=MIDDLE  ALT=\"F%282%29=-2%2F%282-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%282%29=-2%2F-1 ALIGN=MIDDLE  ALT=\"F%282%29=-2%2F-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%282%29=2 ALIGN=MIDDLE  ALT=\"F%282%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Plot (2,2)  Now you know what it's doing of the left side of the asymptote x=3.<BR>\n" );
document.write( "Let x=4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%284%29=-2%2F%284-3%29 ALIGN=MIDDLE  ALT=\"F%284%29=-2%2F%284-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%284%29=-2%2F1 ALIGN=MIDDLE  ALT=\"F%284%29=-2%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%284%29=-2 ALIGN=MIDDLE  ALT=\"f%284%29=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Plot (4,-2)<BR>\n" );
document.write( "Let x=5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%285%29=-2%2F%285-3%29 ALIGN=MIDDLE  ALT=\"F%285%29=-2%2F%285-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%285%29=-2%2F2 ALIGN=MIDDLE  ALT=\"F%285%29=-2%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%285%29=-1 ALIGN=MIDDLE  ALT=\"F%285%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Plot (5,-1)  Now you know what the graph is doing on the right side.<BR>\n" );
document.write( "This program draws in the vertical asymptote, remember that it should be dashed and is not actually part of the graph.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-2%2F%28x-3%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-2%2F%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );