document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=755537>Question 755537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Decide whether or not the equation defines y as a function of x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y%5E2=-2 ALIGN=MIDDLE  ALT=\"x-y%5E2=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "What I got: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y%5E2=-2 ALIGN=MIDDLE  ALT=\"x-y%5E2=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2%2By%5E2 ALIGN=MIDDLE  ALT=\"x=-2%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B2%29=y ALIGN=MIDDLE  ALT=\"sqrt%28x%2B2%29=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Is it a function?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #459704 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=459704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> No it does not express y as a function of x.  You did actually find part of the equation in the form of y as a function of x.  The original equation ALSO has a lower branch which is also a function of x.  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Taking square root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=x%2B2 ALIGN=MIDDLE  ALT=\"y%5E2=x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you have BOTH of these:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%28x%2B2%29 ALIGN=MIDDLE  ALT=\"y=sqrt%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > AND <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-sqrt%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-sqrt%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Consistant with that, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x-y%5E2=-2 ALIGN=MIDDLE  ALT=\"+x-y%5E2=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > IS NOT A FUNCTION.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A reason it is not a function is because for all but one value of x, each value of x gives more than one value of y.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-3%2C9%2C-6%2C6%2Csqrt%28x%2B2%29%2C-sqrt%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-3%2C9%2C-6%2C6%2Csqrt%28x%2B2%29%2C-sqrt%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );