Q18 of 105 Page 17

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

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