Question

10. What can you say about the applicability of Rolle's theorem for the following functions
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Answer 1

Answer:

Step-by-step explanation:

f (x) = [x]  being greatest integer function it is not differentiable at integral points .\Hence not continuous on integral   points

∴f(x) is not continuous[-1 , 1] $$

Roll's theorem is not applicable to f (x) is [-1 , 1]

How ever f (x) =  0 non integral value is [5 , 9] thus converse of Roll's theorem is not true.