It is known that the definition field of function f (x) = (log2x) - 2log2x + 3 is [1,4], and the maximum and minimum values of function f (x) are obtained

It is known that the definition field of function f (x) = (log2x) - 2log2x + 3 is [1,4], and the maximum and minimum values of function f (x) are obtained

F (x) = (log2x) - 2log2x + 3. = (log2 ^ X - 1) + 2. The axis of symmetry is log2 ^ x = 1, x = 2. The function decreases monotonically on [1,2] and increases monotonically on [2,4]. So the minimum value f (2) = 2, f (1) = 3, f (4) = 4-4 + 3 = 3, so the maximum value of the function on the interval is 3, and the minimum value is 2

Elden Ring Premiere

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