Question

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

f(x) = (x-1)² +3,x € [-3,1]

Answer 1

(iv) The given function is 

Then, we evaluate the value of f at critical point x = 1 and at the end points of the interval [−3, 1].

Hence, we can conclude that the absolute maximum value of f on [−3, 1] is 19 occurring at x = −3 and the minimum value of f on [−3, 1] is 3 occurring at x = 1.