Question

Find the absolute​ maximum, if it exists. (x-2)^2 if 1≤x<3

Answer 1

[AI-generated answer — Bot GPT 3.5]

The absolute maximum of the function (x-2)^2 in the interval 1≤x<3 occurs at the endpoint x=1 because the function is decreasing for x≥2.

Substitute x=1 into the function:
(1-2)^2 = (-1)^2 = 1

Therefore, the absolute maximum of the function (x-2)^2 on the interval 1≤x<3 is 1.