document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58160>Question 58160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one of my problems for a domain and range section was pretty difficult...I'm not sure what part of the problem I got wrong because it wasn't specified.\r<BR>\n" );
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document.write( "find the domain algebraically and the range graphically.<BR>\n" );
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document.write( "square root of(x^2-2x-8)\r<BR>\n" );
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document.write( "> is greater than or equal to since I don't know how to type the sign<BR>\n" );
document.write( "here's what I did: x^2-2x-8 > 0<BR>\n" );
document.write( "(x-4)(x+2) > 0<BR>\n" );
document.write( "x>4 x>-2 and the x can't be negative due to the square root.\r<BR>\n" );
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document.write( "Domain: (-infinity, -2] U [4, infinity)<BR>\n" );
document.write( "Range: (-infinity, -2] U [4, infinity)\r<BR>\n" );
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document.write( "Do I have the domain and range correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39830 by </B><A HREF=/tutors/aboutme.mpl?userid=hayek><B>hayek(51)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=hayek><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=39830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The domain looks good, but the range of a square root function is from 0 to infinity.  I can't tell from the problem whether they intend you to include the negative solution as well, although if so, you don't have a function because it fails to map x to y uniquely.\r<BR>\n" );
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document.write( "Here is the graph, although it the line on the right is supposed to go all the way to the x-axis.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Csqrt%28x%5E2-2x-8%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Csqrt%28x%5E2-2x-8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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