document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194439>Question 1194439</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function? A. (3,0) B. (-2,1) C. (2,-3), D. (-3,-1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826647 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=826647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "As the other tutor mentioned, you didn't post the four points. So it is currently impossible to answer this problem. But I will show the technique on how to solve problems like this. \r<BR>\n" );
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document.write( "Let's say, for example, that we had a set of these four points<BR>\n" );
document.write( "{<BR>\n" );
document.write( "(1,2)<BR>\n" );
document.write( "(3,4)<BR>\n" );
document.write( "(5,6)<BR>\n" );
document.write( "(7,8)<BR>\n" );
document.write( "}<BR>\n" );
document.write( "Notice that none of the x values repeat themselves. Those x values are 1,3,5,7<BR>\n" );
document.write( "The x coordinates are unique without any repeats.\r<BR>\n" );
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document.write( "Now if we were to put the point (3,0) into the mix, then x = 3 does repeat itself with (3,4) and (3,0).<BR>\n" );
document.write( "At this point, we do NOT have a function. <BR>\n" );
document.write( "The input x = 3 leads to multiple outputs y = 4 and y = 0 simultaneously.<BR>\n" );
document.write( "A function is only possible when each input (x) leads to exactly one output (y).<BR>\n" );
document.write( "This means we cannot add (3,0) and still have a function. We'd have to add some other point.\r<BR>\n" );
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document.write( "Of course, the set of four points I came up with above is purely an example. It's very unlikely it matches perfectly with the four points you were given. \r<BR>\n" );
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document.write( "In short: If x repeats itself, then we don't have a function. So choose the answer choice where x doesn't repeat itself.<BR>\n" );
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