document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=279637>Question 279637</A>: <I><SPAN STYLE=\"word-break: break-all;\"> True or False: The domain of  f(x) =  -|x| is all real numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203255 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=203255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> true.\r<BR>\n" );
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document.write( "x can be any real number.\r<BR>\n" );
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document.write( "f(x) will always be negative, so the range of f(x) is equal to all real numbers smaller than or equal to 0.\r<BR>\n" );
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document.write( "regardless of what value you have for x, the absolute value of x will be greater than or equal to 0 and the negative of that will always be less than or equal to 0.\r<BR>\n" );
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document.write( "the domain is all real values of x (x can be positive or negative).\r<BR>\n" );
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document.write( "the range is all real values of x smaller than or equal to 0.\r<BR>\n" );
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document.write( "if x = 0, the absolute value of x = 0 and - the absolute value of 0 will be 0.\r<BR>\n" );
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document.write( "if x = -5, the absolute value of x will be 5 and minus that will be equal to -5.\r<BR>\n" );
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document.write( "if x = 5, the absolute value of x will be 5 and minus that will be equal to -5.\r<BR>\n" );
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document.write( "the absolute value sign surrounding x is part of the rules of the function and does not impact the domain.\r<BR>\n" );
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document.write( "the domain is the value of x only.\r<BR>\n" );
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document.write( "the absolute value sign is part of the rules of the equation that translate the domain into the range.\r<BR>\n" );
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document.write( "the minus sign is the other part of the rules of the equation that translate the domain into the range.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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