document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=707830>Question 707830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Decide whether each relation defines Y as a function of X.  Give the domain and range.<BR>\n" );
document.write( "xy=3\r<BR>\n" );
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document.write( "Does the relation define a function?  -  I answered Yes\r<BR>\n" );
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document.write( "What is the domain and what is the range?\r<BR>\n" );
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document.write( "The answer is Domain = (- infinity, 0) union (0, infinity)<BR>\n" );
document.write( "Range = (- infinity, 0) union (0, infinity)\r<BR>\n" );
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document.write( "HOW DO I GET THIS ANSWER?  WHAT ARE THE SPECIFIC STEPS?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #435865 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=435865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> xy = 3\r<BR>\n" );
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document.write( "y = 3/x\r<BR>\n" );
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document.write( "So this is a function. This is a function because you can plug in any x number and get EXACTLY ONE y value as an output.\r<BR>\n" );
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document.write( "The variable x can be any number but it can't equal 0 because you can't divide by zero.\r<BR>\n" );
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document.write( "So that's why the domain is (- infinity, 0) union (0, infinity)\r<BR>\n" );
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document.write( "Similarly, if you solve for x, you get\r<BR>\n" );
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document.write( "x = 3/y\r<BR>\n" );
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document.write( "and the range will be any y value but y can't equal zero either.\r<BR>\n" );
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document.write( "So the range is the same as the domain, which means the range is: (- infinity, 0) union (0, infinity)  </SPAN>\n" );
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