document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1095903>Question 1095903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> determine whether the equation defines y as a function of x\r<BR>\n" );
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document.write( "X2+6y=4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #710411 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=710411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> start with x^2 + 6y = 4\r<BR>\n" );
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document.write( "subtract x^2 from both sides of this equation to get:\r<BR>\n" );
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document.write( "6y = 4 - x^2\r<BR>\n" );
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document.write( "divide both sides of this eqaution by 6 to get:\r<BR>\n" );
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document.write( "y = (4 - x^2) / 6\r<BR>\n" );
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document.write( "offhand i would say yes because there is only one value of y for each and every value of x.\r<BR>\n" );
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document.write( "for example, assume that x = 2.\r<BR>\n" );
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document.write( "y = (4-4) / 6 which is equal to 0.\r<BR>\n" );
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document.write( "assume that x = -2.\r<BR>\n" );
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document.write( "y = (4-4) / 6 which is equal to 0.\r<BR>\n" );
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document.write( "you have the same value of y for two different values of x, but you don't have the same value of x for two different values of y, therefore y is a function of x.\r<BR>\n" );
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document.write( "the graph will show this to be true.\r<BR>\n" );
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document.write( "that graph is shown below:\r<BR>\n" );
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document.write( "give the graph the vertical line test and you will see that there is only one value of y for each and every value of x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/100201.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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