Q1 of 137 Page 18

Find the absolute maximum and the absolute minimum values of the following functions in the given intervals:

in [1, 9]

f(x) = (x – 2)


f’(x) =


put


f’(x) = 0


⇒


⇒


⇒


⇒


Now,


f(1) = 0


f(4/3) =


Hence, we can conclude that the absolute maximum value of f is 14 occurring at x = 9 and the minimum value of is occurring at x = 4/3


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