Question
Find the maximum and the minimum values, if there be any, of f given by f(x) = x, x ∊ (0, 1).
Solution
The given function is an increasing function in the given interval (0, 1). So the function f should have the minimum value at a point closest to 0 on its right and the maximum value at a point closest to 1 on its left. It is not possible to locate such points. Therefore, the given function has neither the maximum value nor the minimum value in the interval (0, 1).
