document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=625650>Question 625650</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the graph of the rational function?\r<BR>\n" );
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document.write( "y = 2x +4<BR>\n" );
document.write( "    =====<BR>\n" );
document.write( "    x + 1<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 #393678 by </B><A HREF=/tutors/aboutme.mpl?userid=reynard2007><B>reynard2007(52)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reynard2007><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=reynard2007><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=393678\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=calibri size=3><BR>\n" );
document.write( "In solving problems like this, you have to find the following:<BR>\n" );
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document.write( "x-intercept/s: This is where the graph touches the x-axis. For that to happen, y must be equal to zero. So, you have to solve for x and make the expression equal to 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B4%29%2F%28x%2B1%29=0 ALIGN=MIDDLE  ALT=\"%282x%2B4%29%2F%28x%2B1%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=2x%2B4=0 ALIGN=MIDDLE  ALT=\"2x%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=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-->The x-intercept is at point (-2,0)<BR>\n" );
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document.write( "y-intercept/s: This is where your graph touches the y-axis. Here x must be the one equal to zero.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%280%29%2B4%29%2F%28%280%29%2B1%29=4 ALIGN=MIDDLE  ALT=\"%282%280%29%2B4%29%2F%28%280%29%2B1%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> The y-intercept is at point (0,4)<BR>\n" );
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document.write( "critical value/s: For a rational function, this is where the value of the denominator is zero making the whole expression undefined.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1=0 ALIGN=MIDDLE  ALT=\"x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is a line where the graph breaks.\r<BR>\n" );
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document.write( "Plot these points and some more using values of x near the left and right of the critical value.\r<BR>\n" );
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document.write( "The graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B4%29%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%282x%2B4%29%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C+-10%2C10%2C-10%2C10%2C%282x%2B4%29%2F%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C+-10%2C10%2C-10%2C10%2C%282x%2B4%29%2F%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "&nbsp;<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );