document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152577>Question 152577</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following sets of values could be points on the graph of a function?<BR>\n" );
document.write( "Set A<BR>\n" );
document.write( "x = 6,6,6 and y = 1,2,3\r<BR>\n" );
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document.write( "Set B<BR>\n" );
document.write( "x = 5,5,1/3 and y = -1,2,5\r<BR>\n" );
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document.write( "Set C<BR>\n" );
document.write( "x = 1,2,3 and y = 3,4,5\r<BR>\n" );
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document.write( "Set D<BR>\n" );
document.write( "x = 1,2,2 and y = 2,4,2\r<BR>\n" );
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document.write( "I think the answer is Set C based on the fact that there is a difference of 2 between x and y at the various values. Is that correct?\r<BR>\n" );
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document.write( "Thanks,<BR>\n" );
document.write( "Steve Campanella  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112142 by </B><A HREF=/tutors/aboutme.mpl?userid=mducky2><B>mducky2(62)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mducky2><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=112142\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order to solve this problem, we have to visualize what the graph might look like. The first set is pretty easy because all the y's are the same.<br><BR>\n" );
document.write( "<b><u>Set A</u></b><br><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-1%2C+7%2C+-1%2C+7%2C%0D%0A++grid%28+1+%29%2C%0D%0A++circle%28+6%2C+1%2C+.15+%29%2C%0D%0A++circle%28+6%2C+2%2C+.15+%29%2C%0D%0A++circle%28+6%2C+3%2C+.15+%29%2C%0D%0Aline%28+6%2C+1%2C+6%2C+3+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<br>While it does come up with a cohesive line (x = 6) this isn't a function because y is not dependent on x. Even though x doesn't change, y does.\r<BR>\n" );
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document.write( "<b><u>Set B</u></b><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-1%2C+7%2C+-1%2C+7%2C%0D%0A++grid%28+1+%29%2C%0D%0A++circle%28+5%2C+-1%2C+.15+%29%2C%0D%0A++circle%28+5%2C+2%2C+.15+%29%2C%0D%0A++circle%28+1%2F3%2C+5%2C+.15+%29%2C%0D%0Aline%28+5%2C+-1%2C+1%2F3%2C+5+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<br>All the points don't even stay on a line. This is definitely not a linear function.<BR>\n" );
document.write( "<br><b><u>Set C</u></b><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-1%2C+7%2C+-1%2C+7%2C%0D%0A++grid%28+1+%29%2C%0D%0A++circle%28+1%2C+3%2C+.15+%29%2C%0D%0A++circle%28+2%2C+4%2C+.15+%29%2C%0D%0A++circle%28+3%2C+5%2C+.15+%29%2C%0D%0Aline%28+1%2C+3%2C+3%2C+5+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<br>As you had guessed, this looks most like a function. All the points are on the line. This looks like the function x + 2.<BR>\n" );
document.write( "<br><b><u>Set D</u></b><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-1%2C+7%2C+-1%2C+7%2C%0D%0A++grid%28+1+%29%2C%0D%0A++circle%28+1%2C+2%2C+.15+%29%2C%0D%0A++circle%28+2%2C+4%2C+.15+%29%2C%0D%0A++circle%28+2%2C+2%2C+.15+%29%2C%0D%0Aline%28+1%2C+2%2C+2%2C+2+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<br>This is also definitely not a linear function because there can't be two y values for the same x.<br><BR>\n" );
document.write( "<b><u>Conclusion</u></b><br><BR>\n" );
document.write( "The correct answer has to be set C. You were correct. </SPAN>\n" );
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