Question

Find the absolute maximum and minimum values of the function, if they exist, over the indicated interval. Also indicate the x-value at which each extremum occurs. 200 f(x) = x2 + (0,00) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The absolute maximum value(s) isare) (Simplify your answers. Type integers or decimals rounded to three decimal places as needed. Use a comma to separate answers as needed.) OB. There is no absolute maximum value Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The absolute minimum value(s) isare) (Simplify your answers. Type integers or decimals rounded to three decimal places as Moeded. Use a comma to separate answers as needed.) OB. There is no absolute minimum value. at x

Answer 1

Fex) = x². 200 + (0,0) to get the absolute hanimum & minimun find the critical points f'(x) = 22 - 200 x 2x 200 200 x² 100 2 X 4.64 joo Check for all points x = 4.64 F"(x) 2 + 200, 2 Positive 2 i.e x = 4.64 is minimum. 2 f (4.64) = (4.64) + 200 64.63 4.44 FCO) = D + 20 اه But Not included ginen domain Coooo) Floo) (00 +200 00 le Absolute huninum is X-464 Absolute masnimum values is as' at Absolute manima does not exists. Option So option B option Absolute minimum values is 64.63 와 x-4.64