JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Application +4 | -1

f(x)=a \sin x+x+2

is strictly increasing function then number of possible integral values of '

a

' are

View answer and explanation

Correct option: A

Option A (3) is correct because the condition for f(x) to be strictly increasing leads to the inequality -1 <= a <= 1, resulting in three possible integer values for 'a': -1, 0, and 1.

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If the function

f\left( x \right) = \frac{{K\sin x + 2\cos x}}{{\sin x + \cos x}}

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f\left( x \right) = {x^2} + ax + 1

is an increasing function on [1,2] is The value of

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f(x)=x e^{x(1-x)}, x \in R

, is If

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f\left( x \right) = {x^3} + b{x^2} + cx + d

and

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\left( { - \infty ,\;\infty } \right)