Define f(x)=\{\table x,(0 \leq 1 \leq 1);2-x,(1 \leq x \leq 2) Then Rolle’s theorem is not applicable to fx) because

Correct Answer is : f(x) is not differentiable on (0,2)

f(x) is not defined everywhere on [0,2]

f(x) is not continuous on [0,2]

f(x) is not differential on (1,2)

f(x) is not differentiable on (0,2)

TS EAMCET 2015 Solved Paper

Section: Mathematics

Question : 12 of 160

Marks: +1, -0

Define f(x)={

x	(0≤1≤1)
2−x	(1≤x≤2)

Then Rolle’s theorem is not applicable to fx) because

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1	0≤x≤1
−1	1≤x≤2