document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172499>Question 1172499</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Relations expressed as ordered pairs.<BR>\n" );
document.write( "Determine if the following relations are functions. Then state the domain and range.\r<BR>\n" );
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document.write( "{(17,15/4), (15/4,17), (15,17/4), (17/4,15)} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797543 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=797543\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> definition of a function is that, for every value of x there is one and only one value of y.<BR>\n" );
document.write( "when x = 17, y = 15/4 only.<BR>\n" );
document.write( "when x = 15/4, y = 17 only.<BR>\n" );
document.write( "when x = 15, y = 17/4 only.<BR>\n" );
document.write( "when x = 17/4, y = 15 only.<BR>\n" );
document.write( "this fits the definition of a function where each x has one and only one distinct value of y.<BR>\n" );
document.write( "therefore, the relation, expressed as a pair of points, is a function.<BR>\n" );
document.write( "your domain is the set of all possible x values = {17, 15/4, 15, 17/4}<BR>\n" );
document.write( "your range is the set of all possible y values = {15/4, 17, 17/4, 15}<BR>\n" );
document.write( "the fact that the same values are in the domain and the range is irrelevant.<BR>\n" );
document.write( "what matters is the ordered pairs that are associated with each other.<BR>\n" );
document.write( "for every value of x, there is one and only one corresponding value of y.<BR>\n" );
document.write( "here's a definition of a function from the web.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"http://www.berkeleycitycollege.edu/wp/wjeh/files/2012/01/note_function.pdf\" target = \"_blank\">http://www.berkeleycitycollege.edu/wp/wjeh/files/2012/01/note_function.pdf</a><BR>\n" );
document.write( " </SPAN>\n" );
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