document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=512466>Question 512466</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the range of the function:<BR>\n" );
document.write( "f(x)= x^2-12x+46 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343240 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=343240\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the range of the function:<BR>\n" );
document.write( "f(x)= x^2-12x+46<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "y=(x^2-12x+36)+46-36<BR>\n" );
document.write( "y=(x-6)^2+10<BR>\n" );
document.write( "This is an equation of a parabola that opens upwards with a vertex at (6, 10), that is, it has a minimum of 10.<BR>\n" );
document.write( "The range of the function, therefore, is (10,&#8734;) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );