document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114106>Question 1114106</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What happens when a stationary point is outside a domain? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #729119 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=729119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe that, if the point is outside the domain, then it is not considered and can't be part of the range.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "suppose your equation is y = sqrt(x).\r<BR>\n" );
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document.write( "x can't be negative, so any value of x less than 0 is outside the domain.\r<BR>\n" );
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document.write( "the domain is all non-negative values of x.\r<BR>\n" );
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document.write( "if you have a point, such as x = -1, it is outside the domain and not used in determining the range.\r<BR>\n" );
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document.write( "sometimes a point is outsides the domain because it is impossible to be in the dcomain, such as the example above.\r<BR>\n" );
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document.write( "other times a point is outside the domain because you say it can't be part of the domain, such as an equation of something like y = x + 3, where x >= 0.\r<BR>\n" );
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document.write( "if you use graphing software, the software doesn't know enough to not try to graph negative values of x, and your graph will show values of y for those negative values of x, but you would need to black out those area on the graph or instruct the users not to look at any points for x < 0 because they do not apply to the problem.\r<BR>\n" );
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