document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1143305>Question 1143305</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I am quite stumped by this problem and would appreciate someone who could explain it to me:\r<BR>\n" );
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document.write( "Find the minimum value of the expression given below on the horizontal span of <BR>\n" );
document.write( "−3 to 2.<BR>\n" );
document.write( " (Round your answer to two decimal places.)\r<BR>\n" );
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document.write( "9e^2x + 2x^2 \r<BR>\n" );
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document.write( "9e is raised to 2x, + 2x raised to 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #764093 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=764093\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The quick and easy way to solve the problem is to use a graphing calculator like the TI83 or TI84 that has the ability to find minimum values of functions.<br><BR>\n" );
document.write( "You could take the derivative of the function and set it equal to zero to find the value of x where the slope is 0 and therefore where the function value is minimum.  But setting the derivative equal to 0 gives you an equation that can't be solved algebraically; you would have to use numerical methods -- e.g., a graphing calculator.<br><BR>\n" );
document.write( "So you might as well just go ahead and graph the given function using a graphing calculator.... </SPAN>\n" );
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