document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155991>Question 1155991</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this Max and Min question<BR>\n" );
document.write( "Find the absolute maximum and absolute minimum values of f on the given interval. (Round your answers to two decimal places.)<BR>\n" );
document.write( "f(x) = ln(x^2 + x + 2)<BR>\n" );
document.write( "[-1, 1]<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #778672 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=778672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "ln(x) is a monotonically increasing function: if A > B then ln(A) > ln(B), and vice versa.<br><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%5E2%2Bx%2B2%29 ALIGN=MIDDLE  ALT=\"ln%28x%5E2%2Bx%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > will have its minimum value when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%2B2%29 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > has its minimum value.  You can find the minimum value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%5E2%2Bx%2B2%29 ALIGN=MIDDLE  ALT=\"ln%28x%5E2%2Bx%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > using your knowledge of quadratic functions.<br><BR>\n" );
document.write( "For the maximum value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%5E2%2Bx%2B2%29 ALIGN=MIDDLE  ALT=\"ln%28x%5E2%2Bx%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, simply evaluate it at the two given endpoints and see which is greater.<br><BR>\n" );
document.write( "Note also that, again since ln(x) is monotonic increasing, you can tell which endpoint gives the maximum value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%5E2%2Bx%2B2%29 ALIGN=MIDDLE  ALT=\"ln%28x%5E2%2Bx%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by finding on which endpoint the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%2B2 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is greater.<br><BR>\n" );
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