document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=51652>Question 51652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you determine the (2,2), (1,4), (3,6), (-1,2) are function, domain or range?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #34452 by </B><A HREF=/tutors/aboutme.mpl?userid=THANApHD><B>THANApHD(104)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=THANApHD><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=THANApHD><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=34452\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In mathematics, a function is a relation, such that each element of a set (x values)(the domain) is associated with a unique element of another(y value) (possibly the same) set (the codomain, not to be confused with the range). <BR>\n" );
document.write( "---definition---<BR>\n" );
document.write( "So here we can obviously figure out some points\r<BR>\n" );
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document.write( "       1. there can be one or more members in the set of Domain(X values), associate(make connection) to a unique value( one value) in the set of range(Y values.\r<BR>\n" );
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document.write( "      2. But there can not be one value in the set X associates to two or more values in the set of Range(Y values). \r<BR>\n" );
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document.write( "For Eg:-    if    f(2) = 12 <BR>\n" );
document.write( "                  f(9) = 12\r<BR>\n" );
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document.write( "                          so f is a function, which satisfies the definition\r<BR>\n" );
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document.write( "         but if  f(6) = 5<BR>\n" );
document.write( "                 f(6) = -10<BR>\n" );
document.write( "                         is not a function.\r<BR>\n" );
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document.write( "So in your case,<BR>\n" );
document.write( "(2,2), (1,4), (3,6), (-1,2)\r<BR>\n" );
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document.write( "You can find this a function as every element in the set of X associates with the unique value of Y\r<BR>\n" );
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document.write( "but if Your co-ordinates are like the following,<BR>\n" );
document.write( "(2,2), (1,4), (3,6), (2,6)\r<BR>\n" );
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document.write( "See the first & last co ordinate (2,2)(2,6) , so here for the element 2 in the set of X associates with two different values of Y. so its not a funtion.\r<BR>\n" );
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document.write( "Domain- the set of the X values ,that can be satisfy the funtion.<BR>\n" );
document.write( "Range- Set of Y values,that associate with the values, according to the funtion.\r<BR>\n" );
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document.write( "In your case Domain is could be all the real numbers and Range also all the real numbers\r<BR>\n" );
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document.write( " </SPAN>\n" );
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