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

Question

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 (A)  max x, x3  (B)  max x , x 2  (C)  max x ,| x |  (D)  max x ,[ x ]

Tardigrade Admin · Accepted Answer

Correct answer is (d) max x ,[ x ]

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

$max {x, x^{3}}$

$max {x, x^{2}}$

$max {x, ∣ x ∣}$

$max {x, [x]}$

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

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

max{x,x3}

max{x,x2}

max{x,∣x∣}

max{x,[x]}