document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=907354>Question 907354</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The inverse of the function y = x2 is still a function.<BR>\n" );
document.write( "a) always<BR>\n" );
document.write( "b) sometimes<BR>\n" );
document.write( "c) never </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550269 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=550269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i think never.<BR>\n" );
document.write( "y = plus or minus sqrt(x) is the inverse equation.<BR>\n" );
document.write( "if x is positive, y will be a real number.<BR>\n" );
document.write( "if x is negative, y will not be a real number.\r<BR>\n" );
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document.write( "the graph of the equation is shown below:<BR>\n" );
document.write( "the solids lines are the equation of y = plus or minus sqrt(x).<BR>\n" );
document.write( "the dashed lines are the equation of y = x^2<BR>\n" );
document.write( "the domain of y = x^2 is all real numbers and the range of y = x^2 is all real numbers greater than or equal to 0.<BR>\n" );
document.write( "the domain of y = plus or minus sqrt(x) is all real numbers greater than or equal to 0 and the range of y = plus or minus sqrt(x) is all real numbers.\r<BR>\n" );
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document.write( "that is true of all inverse functions.<BR>\n" );
document.write( "the domain of the original function is the range of the inverse function.<BR>\n" );
document.write( "the range of the original function is the domain of the inverse function.\r<BR>\n" );
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document.write( "in this case, the inverse function is not a function, but a relation, because there are more than one value of y for any one value of x.  \r<BR>\n" );
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document.write( "for it to be a function, every value of x must have one and only one value of y.<BR>\n" );
document.write( "if any one value of x has more than one value of y, that's enough for it not to be a function, but to be a relation.\r<BR>\n" );
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document.write( "in this case, all values of x except for 0 have more than one value of y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/092902.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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