document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=938601>Question 938601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> our teacher asked us to consider this relation below:\r<BR>\n" );
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document.write( "A =	{ (x, y) &#8712; &#8477;^2 &#8758; y^3 = x^2 }\r<BR>\n" );
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document.write( "Is A a function of x on &#8477;?	\r<BR>\n" );
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document.write( "*please note R is the symbol for real numbers \r<BR>\n" );
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document.write( "After considering it i don't think it is a function as the square root of a negative number does not exsist as a real number ?\r<BR>\n" );
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document.write( "so would this not be a function of x on R? or is my thinking in correct or is this relation in fact a function?\r<BR>\n" );
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document.write( "An explanation would be greatly appreciated thank you  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #571835 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=571835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you solve for y, you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+root%283%2Cx%5E2%29 ALIGN=MIDDLE  ALT=\"y+=+root%283%2Cx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this is definitely a function because each input produces EXACTLY ONE output.\r<BR>\n" );
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document.write( "Visually, the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+root%283%2Cx%5E2%29 ALIGN=MIDDLE  ALT=\"y+=+root%283%2Cx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > passes the vertical line test. So it is a function.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2Cgraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C0%2C%28x%5E%282%2F3%29%29%2C%28-x%29%5E%282%2F3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Side Note: the two pieces that are different colors are actually the same graph. I had no other choice but to graph it in two pieces like this.\r<BR>\n" );
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document.write( "Jim\r<BR>\n" );
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