document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205597>Question 1205597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the set of ordered pairs to determine whether the relation is a function. Then find the domain of the relation, and the range of the relation.\r<BR>\n" );
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document.write( "{(-5,-5),(-3,5),(-3,2),(7,7),(9,4)}\r<BR>\n" );
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document.write( "The domain of the relation is (Enter the domain elements, separated by commas)\r<BR>\n" );
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document.write( "The range of the relation is (Enter the range elements, separated by commas) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842500 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=842500\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Domain = set of x coordinates = <font color=red>-5, -3, 7, 9</font><BR>\n" );
document.write( "Often we surround a collection of numbers in curly braces to denote a set. <BR>\n" );
document.write( "However, your teacher may or may not want these surrounding items. I would ask for clarification.\r<BR>\n" );
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document.write( "Range = set of y coordinates = <font color=red>-5, 5, 2, 7, 4</font>\r<BR>\n" );
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document.write( "Is it a function? <font color=red>No</font>. Why not? Because the input x = -3 leads to more than one output (y = 5 and y = 2). In other words, the x coordinate -3 repeats which is an indication we don't have a function. The output values can repeat but the function wouldn't be one-to-one (aka injective).\r<BR>\n" );
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document.write( "A function requires each input leads to exactly one and only one output.<BR>\n" );
document.write( "One input ----> one output.<BR>\n" );
document.write( "Visually you can use the vertical line test to check if it's a function or not.<BR>\n" );
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