document.write( "Question 1024912: Please help me with this problem:
\n" ); document.write( "Apply the critical number theorem to find the maximum and minimum values of f(x) = $\"x%5E2\"$ + 1 occur on the interval [-2,1]. What are the maximum and minimum values of f on this interval? \n" ); document.write( "

Algebra.Com's Answer #640278 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Please help me with this problem:
\n" ); document.write( "Apply the critical number theorem to find the maximum and minimum values of f(x) = $\"x%5E2\"$ + 1 occur on the interval [-2,1].
\n" ); document.write( "What are the maximum and minimum values of f on this interval?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "0.  f(x) = . \r\n" );
document.write( "\r\n" );
document.write( "1.  Find f'(x).  It is  f'(x) = 2x.\r\n" );
document.write( "\r\n" );
document.write( "2.  Write the equation f'(x) = 0.  It is 2x = 0.\r\n" );
document.write( "    Solve it.  The solution is x = 0.\r\n" );
document.write( "    \r\n" );
document.write( "3.  Calculate f(0).  It is  f(0) =  = 1.\r\n" );
document.write( "\r\n" );
document.write( "4.  Calculate  f(x)  at x = -2.  It is  f(-2) =  = 5.\r\n" );
document.write( "\r\n" );
document.write( "5.  Calculate  f(x)  at x = 1.   It is  f(1)  =  = 2.\r\n" );
document.write( "\r\n" );
document.write( "6.  Compare the values f(-2), f(0) and f(1).\r\n" );
document.write( "    They are             5,   1    and  2.\r\n" );
document.write( "\r\n" );
document.write( "7.  Conclusion:  x = -2  gives the maximum,  x = 0  gives the minimum in the segment [-2,1].\r\n" );
document.write( "\r\n" );
document.write( "8.  The problem is solved.\r\n" );
document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );