document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=622410>Question 622410</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the graph is that of a function?\r<BR>\n" );
document.write( "\n" );
document.write( "Using the vertical line test, determine if this graph is a function. I'm confused on the concept. \r<BR>\n" );
document.write( "\n" );
document.write( "The link to the graph: <BR>\n" );
document.write( "http://i1076.photobucket.com/albums/w445/angvlc/Untitled.jpg \r<BR>\n" );
document.write( "\n" );
document.write( "Does this graph represent a function? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #391370 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=391370\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The definition of a function demands that the function be able to map any given input value, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\">, to one and only one output value, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y\">.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, if you have a relationship between <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y\"> such that for whatever value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\"> you are given, you can tell for certain what the value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y\"> must be, then you have a function.  On the other hand, if you have a relation where there is a certain <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\"> value or set of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\"> values where the value of the relation, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y\">, \"could be this or it could be that\", then you do NOT have a function.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Here is where the vertical line test comes in.  If you can find a vertical line anywhere that intersects the graph of your function in more than one place, you now have a \"maybe this, maybe that\" situation and you do NOT have a function.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Look at your graph.  The <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y\">-axis is certainly a vertical line, and your graph crosses the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y\">-axis in two places, two being more than one.  So what is your conclusion?  Does the graph represent a function?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<div  DISABLED_style= \"text-align:center\"><a  rel=nofollow HREF=\"http://outcampaign.org/\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png\" border=\"0\" alt=\"The Out Campaign: Scarlet Letter of Atheism\" width=\"143\" height=\"122\" /></a></div><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );