document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=347077>Question 347077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following are functions?  Explain your reasoning for a, b, and c.  Keep the definition of a function strongly in mind as you do this problem, it is not nearly as difficult as it may look.  Think about whether the relationship between f(x) and x is consistent with being a function or not and explain your reasoning.  Problems b & c are multi part relations so consider all parts when deteriming if they are funcitons.\r<BR>\n" );
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document.write( "a. f(x) = x 8\r<BR>\n" );
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document.write( "b. f(x) = 45 if x>2 otherwise f(x) = -4\r<BR>\n" );
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document.write( "c. f(x) = 4 if x>0 or f(x) = -4 if x<0 or f(x) = 4 or -4 if x = 0 \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 #248210 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=248210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Which of the following are functions? Explain your reasoning for a, b, and c. Keep the definition of a function strongly in mind as you do this problem, it is not nearly as difficult as it may look. Think about whether the relationship between f(x) and x is consistent with being a function or not and explain your reasoning. Problems b & c are multi part relations so consider all parts when deteriming if they are funcitons.<BR>\n" );
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document.write( "Fact: f is a function if for each x value there is only one f(x) value.<BR>\n" );
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document.write( "a. f(x) = x^8 ::::::yes<BR>\n" );
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document.write( "b. f(x) = 45 if x>2 otherwise f(x) = -4::::yes<BR>\n" );
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document.write( "c. f(x) = 4 if x>0 <BR>\n" );
document.write( "or f(x) = -4 if x<0 <BR>\n" );
document.write( "or f(x) = 4 or -4 if x = 0 <BR>\n" );
document.write( "No, because f(0) is 4 or -4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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