document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=627181>Question 627181</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3. Which of the following are functions from A to B? If your answer is “not a function,” explain why not.<BR>\n" );
document.write( "  A. A is the set of mathematics faculty at the university. B is the set of all mathematics classes. To each mathematics faculty member, we associate the class that person is teaching during a given term.<BR>\n" );
document.write( "  B. A is the set of mathematics classes at the university. B is the set of mathematics faculty. To each mathematics class, we associate the teacher who is teaching the class.<BR>\n" );
document.write( "  C. A is the set of all U.S. senators and B is the set of all senate committees. We associate each senator to the committee of which the senator is chairperson.<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 #394736 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=394736\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The question to ask yourself in each case is: If I pick an element from set A, do I get one and only one element of B?  If so, you have a function.  On the other hand, if you pick an A and the associated B is \"maybe this, maybe that\" then you do NOT have a function.\r<BR>\n" );
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document.write( "A. Each Faculty could possibly teach more than one class, so picking a faculty member leaves you with \"maybe this class, maybe that class, or maybe this other class...\"  Not a function.\r<BR>\n" );
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document.write( "B. Each Class has exactly one teacher.  So if you pick a class, you get one teacher, no more, no less.  This is a function.\r<BR>\n" );
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document.write( "C. Don't know.  Is it possible for a given Senator to be the chairman of more than one committee?  If so, not a function. If not, then it is a function.  You can research the Senate rules.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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