document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=357176>Question 357176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "Actually I'm in college algebra, but since the following problem has to do with range, this was the closest category I could come up with. <BR>\n" );
document.write( "Here's the problem:<BR>\n" );
document.write( "Find the range of the function: f(x)=x^2+12x+34 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #255080 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=255080\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the range of the function: f(x)=x^2+12x+34<BR>\n" );
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document.write( "Since the parabola opens upward from the vertex,<BR>\n" );
document.write( "you have to find the y-value of the vertex.<BR>\n" );
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document.write( "Vertex occurs at x = -b/2a = -12/(2) = 6<BR>\n" );
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document.write( "y-value at x = 6 is 6^2+12*6+34 = 142<BR>\n" );
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document.write( "Range: All Real Numbers >= 142<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );