document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=557449>Question 557449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Range of function sqrt(x^2-2x+5). Why is the range &#8805;2?, without graphing </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #362609 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=362609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Range of function sqrt(x^2-2x+5). Why is the range &#8805;2?, without graphing<BR>\n" );
document.write( "----<BR>\n" );
document.write( "y = sqrt(x^2-2x+5)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x^2-2x+5 has its minimum point at x = (-b/(2a)) = 2/(2*1) = 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "f(1) = 1^2-2*1+5 = 4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Your problem takes the square root of all<BR>\n" );
document.write( "the y value of x^2-2x+5.<BR>\n" );
document.write( "The lowest of these value is sqrt(4) = 2<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==============  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );