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  4. Consider the following behaviours of function in (-1, 1) I. Increasing II. Decreasing III. Continuity IV. Derivability Which one of the following four functions exhibits atleast three of the four mentioned above? where [ ] denotes greatest integer function

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Q. Consider the following behaviours of function in $(-1, 1)$
I. Increasing
II. Decreasing
III. Continuity
IV. Derivability
Which one of the following four functions exhibits atleast three of the four mentioned above?
where [ ] denotes greatest integer function

Application of Derivatives

Solution:

Correct answer is (d) $ \max \{ x ,[ x ]\}$

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