document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038440>Question 1038440</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph y=x^2-4 on your paper. find domain and range </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653263 by </B><A HREF=/tutors/aboutme.mpl?userid=Othel><B>Othel(27)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Othel><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=653263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm not sure how to make a graph, or even if we can. But I must say, you certainly should make a graph, if only to see what it looks like. <BR>\n" );
document.write( "When we graph functions of the square of a number, it turns out to be a shape called a parabola. it is shaped like a 'v', and can also be an upside down 'v' if dealing with negative squares. <BR>\n" );
document.write( "Once you know what the curve looks like, and it is indeed a function, you can understand a couple of things very quickly...<BR>\n" );
document.write( "1. With infinity out there somewhere, the curve will reach out left and right to include all real numbers in the domain.<BR>\n" );
document.write( "2. If the curve opens upward, the range will be no less than the 'Y' intercept. <BR>\n" );
document.write( "If the curve opens downward, the range will be no more than the 'Y' intercept.<BR>\n" );
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document.write( "In the case of this equation, we are looking at a positive square, as opposed to ...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%28x%5E2%29 ALIGN=MIDDLE  ALT=\"y=-%28x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as an example.<BR>\n" );
document.write( "So the curve will open upward.<BR>\n" );
document.write( "The domain is the set of all real numbers.<BR>\n" );
document.write( "The range is greater than or equal to the 'y' intercept, which is -4. <BR>\n" );
document.write( "To understand this, please do draw a graph.<BR>\n" );
document.write( "I hope this helps! Learn on </SPAN>\n" );
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