document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083922>Question 1083922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the function is one-to-one.<BR>\n" );
document.write( "{(0, 2), (–2, 5), (5, 1), (–4, 4), (–1, 3), (3, –3)}<BR>\n" );
document.write( "Select one:<BR>\n" );
document.write( " a. one-to-one<BR>\n" );
document.write( " b. not one-to-one<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697988 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=697988\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if only 1 value of y is pointed to by the same value of x, then you have a function.\r<BR>\n" );
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document.write( "if you also have only 1 value of x that points to the same value of y, then you have a 1 to 1 function.\r<BR>\n" );
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document.write( "if your re-orient your data in ascending values of x, you will get:\r<BR>\n" );
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document.write( "     x     y\r\n" );
document.write( "     -4     4\r\n" );
document.write( "     -2     5\r\n" );
document.write( "     -1     3\r\n" );
document.write( "      0     2\r\n" );
document.write( "      3    -3\r\n" );
document.write( "      5     1\r\n" );
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document.write( "you can see in this data that no 2 values of x are the same and no 2 values of y are the same.\r<BR>\n" );
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document.write( "therefore the data is a 1 to 1 function.\r<BR>\n" );
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document.write( "if it was not a function, you might have seen something like this:\r<BR>\n" );
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document.write( "     x     y\r\n" );
document.write( "     -2     4\r\n" );
document.write( "     -2     5\r\n" );
document.write( "     -1     3\r\n" );
document.write( "      0     2\r\n" );
document.write( "      3    -3\r\n" );
document.write( "      5     1\r\n" );
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document.write( "you can see that the -2 value of x points to more than one value of y.<BR>\n" );
document.write( "that means it is not a function.\r<BR>\n" );
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document.write( "if it was a function, but not a 1 to 1 function, you might have seen something like this:\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "     x     y\r\n" );
document.write( "     -4     4\r\n" );
document.write( "     -2     4\r\n" );
document.write( "     -1     3\r\n" );
document.write( "      0     2\r\n" );
document.write( "      3    -3\r\n" );
document.write( "      5     1\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "you can see that the 4 value of y is pointed to by more than 1 value of x.<BR>\n" );
document.write( "it is still a function because only one value of x points to the same value of y.<BR>\n" );
document.write( "it is not a 1 to 1 function because more than 1 value of x points to the same value of y.\r<BR>\n" );
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document.write( "bottom line is that you have a 1 to 1 function.\r<BR>\n" );
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document.write( "here's a decent reference on the subject.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.purplemath.com/modules/fcns.htm\" target = \"_blank\">http://www.purplemath.com/modules/fcns.htm</a>\r<BR>\n" );
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