document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1082080>Question 1082080</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph of the fuction x^2/(1-x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #696160 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=696160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Table of values<BR>\n" );
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document.write( "<tr><th>x</th><th>y</th></tr><tr><TD >-5</TD><TD >4.16667</TD></tr><tr><TD >-4</TD><TD >3.2</TD></tr><tr><TD >-3</TD><TD >2.25</TD></tr><tr><TD >-2</TD><TD >1.33333</TD></tr><tr><TD >-1</TD><TD >0.5</TD></tr><tr><TD >0</TD><TD >0</TD></tr><tr><TD >1</TD><TD >UND</TD></tr><tr><TD >2</TD><TD >-4</TD></tr><tr><TD >3</TD><TD >-4.5</TD></tr><tr><TD >4</TD><TD >-5.33333</TD></tr><tr><TD >5</TD><TD >-6.25</TD></tr>\n" );
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document.write( "Each y value is found by plugging in the corresponding x value. For example, if we plug in x = 3, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28x%5E2%29%2F%281-x%29+=+%283%5E2%29%2F%281-3%29+=+%289%29%2F%28-2%29+=+-4.5 ALIGN=MIDDLE  ALT=\"y+=+%28x%5E2%29%2F%281-x%29+=+%283%5E2%29%2F%281-3%29+=+%289%29%2F%28-2%29+=+-4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > giving the pairing (x,y) = (3,-4.5). The rest of the y values are generated in a similar way.\r<BR>\n" );
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document.write( "Warning: x = 1 is not allowed since the denominator would turn into 1-x = 1-1 = 0 leading to a division by zero error. The \"UND\" in the table stands for \"Undefined\"\r<BR>\n" );
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document.write( "Each (x,y) value is then plotted on the same grid and you draw a curve through all the points. In this case, there's two separate pieces that don't join. \r<BR>\n" );
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document.write( "From the table shown above, we have these ordered pairs\r<BR>\n" );
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document.write( "A = (-5, 4.16667)<BR>\n" );
document.write( "B = (-4, 3.2)<BR>\n" );
document.write( "C = (-3, 2.25)<BR>\n" );
document.write( "D = (-2, 1.33333)<BR>\n" );
document.write( "E = (-1, 0.5)<BR>\n" );
document.write( "F = (0, 0)<BR>\n" );
document.write( "G = (2, -4)<BR>\n" );
document.write( "H = (3, -4.5)<BR>\n" );
document.write( "I = (4, -5.33333)<BR>\n" );
document.write( "J = (5, -6.25)\r<BR>\n" );
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document.write( "Take note of the labeling of each point and how it corresponds to the image below<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"https://i.imgur.com/Joa3kqy.png\"><BR>\n" );
document.write( "Image generated by <a  rel=nofollow HREF= \"https://www.geogebra.org/home?ggbLang=en\">GeoGebra</a> (free graphing software).\r<BR>\n" );
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document.write( "I recommend using graphing software or a graphing calculator so you can see the basic shape of this curve. </SPAN>\n" );
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