document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=893411>Question 893411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> difference between equation<BR>\n" );
document.write( " and funtion? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541268 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=541268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a function is a special kind of equation where there is only one value of y for each and every value of x.\r<BR>\n" );
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document.write( "an example of a function is y = x + 6<BR>\n" );
document.write( "for each value of x, there is one and only one value of y.\r<BR>\n" );
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document.write( "an example of an equation that would not be a function is called a relation.<BR>\n" );
document.write( "an example of a relation is y = +/- sqrt(x)<BR>\n" );
document.write( "in this equation, each and every value of x will have 2 values of y.<BR>\n" );
document.write( "one of them for + sqrt(x) and one of them for - sqrt(x).\r<BR>\n" );
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document.write( "you do not need to have more than one value of  y for each and every value value of x.<BR>\n" );
document.write( "if only one of the values of x has more than one value of y, then the equation is a relation and not a function.\r<BR>\n" );
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document.write( "to be a function, each and every value of x has to have one and only one corresponding value of y.\r<BR>\n" );
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document.write( "if any value of x has more than one value of y, then the equation is a relation and not a function.\r<BR>\n" );
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document.write( "here's a link that talks about functions and relations.<BR>\n" );
document.write( "it's a good link so pay attention if you want to learn more about the difference between them.<BR>\n" );
document.write( "there are more than one page in the tutorial, so please view all the pages if you want a complete explanation with all the little nuances that can occur.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.purplemath.com/modules/fcns.htm\" TARGET = \"_blank\">http://www.purplemath.com/modules/fcns.htm</a>\r<BR>\n" );
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