document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=715954>Question 715954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in the problem h(x)=x^2+2x-3, i know the domain is all real numbers, but how come the range is [-4,to infinity). how do I find the range of the problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439666 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=439666\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> in the problem h(x)=x^2+2x-3, i know the domain is all real numbers, but how come the range is [-4,to infinity). how do I find the range of the problem?<BR>\n" );
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document.write( "Since the vertex is either at the bottom or at the top of the range,<BR>\n" );
document.write( "find the vertex.<BR>\n" );
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document.write( "x = -b/(2a) = -2/(2*1) = -1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "f(-1) = (-1)^2 +2(-1)-3 = 1-2-3 = -4<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Since \"a\" is positive the parabola opens up,<BR>\n" );
document.write( "so -4 is the lowest y-value.<BR>\n" );
document.write( "Range: [-4,+oo)<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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