Question

In the interval (1, 2), function f(x) = 2|x – 1| +3 |x – 2| is

A. Increasing

B. Decreasing

C. Constant

D. None of these

Answer 1

Correct answer is B.

Formula:-

(i) The necessary and sufficient condition for differentiable function defined on (a, b) to be strictly decreasing on (a, b) is that f’(x) < 0 for all x ∈ (a, b)

Given:-

Therefore f’(x) < 0

Hence decreasing function