1.

Function f(x) = |x| – |x – 1| is monotonically increasing whenA. x < 0B. x > 1C. x < 1D. 0 < x < 1

Answer»

Correct answer is D.

Formula:-

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

Given:-

For x < 0

f(x) = -1

for 0 < x < 1

f(x) = 2x - 1

for x > 1

f(x) = 1

Hence f(x) will increasing in 0 < x < 1


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