document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970873>Question 970873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> which of the following relations is not a function ?\r<BR>\n" );
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document.write( "a. {(5, 11), (6, 2), (3, 2), (4, 7), (1, 3)}<BR>\n" );
document.write( "b. {(1, 11), (6, 2), (3, 4), (5, 7), (8, 12)}<BR>\n" );
document.write( "c. {(1, 11), (6, 2), (3, 4), (9, 7), (8, 12)}<BR>\n" );
document.write( "d. {(1, 5), (6, 2), (3, 4), (5, 7), (6, 12)}\r<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 #593483 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=593483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "recall:  \r<BR>\n" );
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document.write( "A function is a set of ordered pairs in which each x-element has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=only ALIGN=MIDDLE  ALT=\"only\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ONE ALIGN=MIDDLE  ALT=\"ONE\"   DISABLED_style= \"max-width:90%; height:auto;\" > y-element associated with it.\r<BR>\n" );
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document.write( " Vertical line test: each vertical line drawn through the graph will intersect a function in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=only ALIGN=MIDDLE  ALT=\"only\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=one ALIGN=MIDDLE  ALT=\"one\"   DISABLED_style= \"max-width:90%; height:auto;\" > location \r<BR>\n" );
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document.write( "a. {(5, 11), (6, 2), (3, 2), (4, 7), (1, 3)}<BR>\n" );
document.write( "In the relation above the domain is {1,3,4, 5, 6 }<BR>\n" );
document.write( "And the range is { 2, 3, 7,11 }\r<BR>\n" );
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document.write( "=> has (6, 2), (3, 2) where 2 different x-element have same y-element; but that is ok if relation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=is ALIGN=MIDDLE  ALT=\"is\"   DISABLED_style= \"max-width:90%; height:auto;\" > a function\r<BR>\n" );
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document.write( "b. {(1, 11), (6, 2), (3, 4), (5, 7), (8, 12)}\r<BR>\n" );
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document.write( "relation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=is ALIGN=MIDDLE  ALT=\"is\"   DISABLED_style= \"max-width:90%; height:auto;\" > a function\r<BR>\n" );
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document.write( "c. {(1, 11), (6, 2), (3, 4), (9, 7), (8, 12)}\r<BR>\n" );
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document.write( "relation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=is ALIGN=MIDDLE  ALT=\"is\"   DISABLED_style= \"max-width:90%; height:auto;\" > a function\r<BR>\n" );
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document.write( "d. {(1, 5), (6, 2), (3, 4), (5, 7), (6, 12)}\r<BR>\n" );
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document.write( "=> relation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=is ALIGN=MIDDLE  ALT=\"is\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=not ALIGN=MIDDLE  ALT=\"not\"   DISABLED_style= \"max-width:90%; height:auto;\" > a function because  (6, 2)and (6, 12) have same x-element \r<BR>\n" );
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