document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=17640>Question 17640</A>: <I><SPAN STYLE=\"word-break: break-all;\"> my problem states tell if the relation of the graph is a function<BR>\n" );
document.write( "and the set of ordered pairs are (-2,3) (-4,3) (-6,3) (2,-1) (4,-1) (7,-1)<BR>\n" );
document.write( "and they want to know is there a function now i dont know i think its not..but could someone please help me so that i can be more sure about it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #8512 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=8512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> my problem states tell if the relation of the graph is a function<BR>\n" );
document.write( "and the set of ordered pairs are (-2,3) (-4,3) (-6,3) (2,-1) (4,-1) (7,-1)<BR>\n" );
document.write( "and they want to know is there a function now i dont know i think its not..but could someone please help me so that i can be more sure about it?<BR>\n" );
document.write( "........make a set of first numbers in the above ordered pairs ...call it set A<BR>\n" );
document.write( " ..set A =(-2,-4,-6,2,4,7)<BR>\n" );
document.write( "similarly make a set of second numbers and call it set B<BR>\n" );
document.write( "...set B = (3,3,3,-1,-1,-1)=(3,-1)..to see whether the change from set A to ...set B  is a function ..check<BR>\n" );
document.write( "1.each and every element in set A has corresponding number in set B<BR>\n" );
document.write( "it has so ok.<BR>\n" );
document.write( "2.each and every element in set A has a unique corresponding number in set B.we find it ok.PLEASE NOTE THAT UNIQUE MEANS ONE NUMBER IN SET A CANNOT HAVE 2 CORRESPONDING NUMBERS IN SET B .WHERE AS TWO OR MORE NUMBERS IN SET A CAN HAVE SAME CORRESPONDING NUMBER in set B.<BR>\n" );
document.write( "....if the above 2 conditions are satisfied we say set A to set B is a function..so the given one is a function.<BR>\n" );
document.write( "   at the same time note that set B to set A is NOT REPEAT NOT a function<BR>\n" );
document.write( "since test 2 fails namely 3 in set B has not one but many corresponding numbers ( called images) like -2.-4.-6.so the correspondence or image is not unique and hence it is not a function.if we write as ordered pairs ,then it can be a function from 1st. set to 2nd.set only when there are no repetetions in the first numbers having different images in the second numbers.and vice versa for it to be a function from 2nd. set to 1st. set  </SPAN>\n" );
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