document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062861>Question 1062861</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the points on a graph are (6,0),(26,0) and (16,22) will point (11,16) intersect any of them? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #677859 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=677859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Your question doesn't make a lot of sense.  Points cannot intersect other points, so your question, as written, is nonsense.  On the other hand, if you are asking whether the graph that contains the first three points also contains the fourth point, then the answer is \"maybe\".\r<BR>\n" );
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document.write( "The graph of\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ f(x)\ =\ 0.22x^2\ +\ 7.04x\ -\ 34.32\">\r<BR>\n" );
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document.write( "DOES contain the points (6,0), (26,0), and (16,22), but does NOT contain the point (11,16).\r<BR>\n" );
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document.write( "But the graph of\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ g(x)\ =\ 0.0013x^3\ - 0.156x^2\ +\ 6.1493x\ -\ 30.992\">\r<BR>\n" );
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document.write( "contains all four points.  An infinite number of higher order polynomial functions have graphs that contain all four points.  In general, if you have <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\"> points, a polynomial function of degree <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\ -\ 1\"> will exist that contains all <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\"> points in its solution set. \r<BR>\n" );
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document.write( "If you are asking some other question, I cannot conceive of what that might be and you are going to have to do a better job of explaining what you want.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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