Question

Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. f(x) = x2 - 8x - 6; 10.7 The absolute maximum value is atx=0 (Use a comma to separate answers as needed.) The absolute minimum value is atx=0 (Use a comma to separate answers as needed.)

Answer 1

Geven f(x)=x2-88-6 ; [0,7] when f(x)=0 critical a points occoss f(x) =d (x2 - 80 - 6 da 22-8 cortical point 22-80) -o= F22=0 20- 850 28 = 8 = 8 = 4 2 occors at x=4 - Absolute at cortical maximum minimum occurs boondary points 0, 4, 17 f(0) = 8²8(0) -6=-6 (maslimum) F(A) = 4² -8(4) -6 = -22 (minimum) F(7) = 7² – 8 (7) 6 = -13 ponts & at x = -6 . Absolute maslimom value is atx= O Absolute minimum minimum value is -29 at x = 4