document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198061>Question 198061</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following are functions?  The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions.  Explain your reasoning for a, b, and c. \r<BR>\n" );
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document.write( "a. f(x) = x + 5\r<BR>\n" );
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document.write( "b. f(x) = 3 if x>2 otherwise f(x) = -2\r<BR>\n" );
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document.write( "c. f(x) = 7 if x>0  or  f(x) = -7 if x<0  or  f(x) = 7 or -7 if x = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148527 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=148527\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "The mathematical concept of a function expresses dependence between two quantities, one of which is known and the other which is produced. A function associates a single output to each input element drawn from a fixed set, such as the real numbers (<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \R\">), although different inputs may have the same output.\r<BR>\n" );
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document.write( "a.  Function.  No value of x will result in more than one value for f(x)\r<BR>\n" );
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document.write( "b.  Function.  Same reason.\r<BR>\n" );
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document.write( "c.  Not a function.  If x = 0, then f(x) is 7 or -7, violating the restriction of a single output for each input element.\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" );
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