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Mark the correct alternative in the following:
Function f(x) = |x| – |x – 1| is monotonically increasing when
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