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Find the Absolute Extreme Values of the Function on the Interval

Question 210

Multiple Choice

Find the absolute extreme values of the function on the interval.
- f(x) =ln(x+2) +1x,1x6f ( x ) = \ln ( x + 2 ) + \frac { 1 } { x } , 1 \leq x \leq 6


A) Minimum value is 1- 1 at x=1x = - 1 ; maximum value is ln8+16\ln 8 + \frac { 1 } { 6 } at x=6x = 6
B) Minimum value is ln3+1\ln 3 + 1 at x=1x = 1 ; maximum value is ln8+16\ln 8 + \frac { 1 } { 6 } at x=6x = 6
C) Minimum value is ln4+12\ln 4 + \frac { 1 } { 2 } at x=2x = 2 ; maximum value is ln3+1\ln 3 + 1 at x=1x = 1
D) Minimum value is ln4+12\ln 4 + \frac { 1 } { 2 } at x=2x = 2 ; maximum value is ln8+16\ln 8 + \frac { 1 } { 6 } at x=6x = 6

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