document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82994>Question 82994</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you explain how a graph shows whether relations are functions or not functions?  I get confused when using the vertical-line test. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59631 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If any vertical line intersects the graph more that once the<BR>\n" );
document.write( "relation is not a function.<BR>\n" );
document.write( "Why?<BR>\n" );
document.write( "Because that would imply that for some value of \"x\" there is <BR>\n" );
document.write( "more than one corresponding \"y\" value.  That contrdicts the <BR>\n" );
document.write( "definition of a function.<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );