document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114925>Question 1114925</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student claims that the relation (0,3), (1,5), (3,8), (5,5) is morning a function because the y- coordinate 5 responds to more than one x- coordinate. Explain the students error and justify your answer. \r<BR>\n" );
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document.write( "Thanks in advance for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #729865 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=729865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A student claims that the relation (0,3), (1,5), (3,8), (5,5) is morning a function because the y- coordinate 5 responds <BR>\n" );
document.write( "to more than one x- coordinate. Explain the students error and justify your answer. <BR>\n" );
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document.write( "<U>First</U>, &nbsp;your post was formulated incorrectly.\r<BR>\n" );
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document.write( "The correct formulation is &nbsp;<U>THIS</U>:\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( "    A student claims that the relation (0,3), (1,5), (3,8), (5,5) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28cross%28morning%29%29 ALIGN=MIDDLE  ALT=\"highlight%28cross%28morning%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <U>not</U> a function \r\n" );
document.write( "    because the y- coordinate 5 responds to more than one x- coordinate. Explain the students error and justify your answer.\r\n" );
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document.write( "<U>Second</U>, &nbsp;the answer by &nbsp;@josgarithmetic is &nbsp;TOTALLY WRONG: &nbsp;&nbsp;this relation &nbsp;<U>actually IS the function</U>,\r<BR>\n" );
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document.write( "because each value of &nbsp;\"x\" &nbsp;(first coordinate) produces a unique response value of &nbsp;\"y\" &nbsp;(\"vertical line criterion\" is satisfied).\r<BR>\n" );
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document.write( "<U>Third</U>, &nbsp;the student's error is in that he (or she - I mean \"the student\") &nbsp;INCORRECTLY formulates/INTERPRETES &nbsp;the vertical line criterion.\r<BR>\n" );
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document.write( "The \"vertical line criterion\" prohibits to any given \"x\" of the domain to have more than one response \"y\".\r<BR>\n" );
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document.write( "This criterion is satisfied for the given relation.\r<BR>\n" );
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document.write( "The fact noticed by the student that \"the y- coordinate 5 responds to more than one x- coordinate\" does not relate <BR>\n" );
document.write( "to the \"vertical line criterion\" and does not disprove it.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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