document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=109775>Question 109775</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073268620/algebrahomeworkh>elementary and intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I am not sure how to determine if a relation is a function and my texbook does not give a good example. Please help!<BR>\n" );
document.write( "x^2=1+y^2\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79986 by </B><A HREF=/tutors/aboutme.mpl?userid=dborova><B>dborova(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dborova><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=79986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> hi!\r<BR>\n" );
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document.write( "To begin with, we have to understand what a function means. A function is a relation in which each element of the domain is paired with exactly one element of the range. For example if we had (1,5), (6,2), and (3,9) and we arrange them in a domain and range order 1      2 One pairs with 5 exactly<BR>\n" );
document.write( "                                         3      5 one time. 6 pairs with 2<BR>\n" );
document.write( "                                         6      9 exactly one time. 3 pairs<BR>\n" );
document.write( "with 9 exactly one time. But lets say if we had (1,1) (6,7) and (3,1) we would have 1  1  One pairs with 1 once. 6 pairs 7 one time. But 3 pairs with one too,<BR>\n" );
document.write( "     3  7  which doesn't make them a function. So your answer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=1%2By%5E2 ALIGN=MIDDLE  ALT=\"x%5E2=1%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     6     wouldn't be a function because 1 and x both go into 2 twice.\r<BR>\n" );
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document.write( "=)<BR>\n" );
document.write( "Drita B. </SPAN>\n" );
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