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JEE MATHEMATICS MCQ: INCREASING & DECREASING

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The function f(x)f\left( x \right) given by
f(x)∣x+1111x+1111x+1∣f\left( x \right)\left| {\begin{array}{cccccccccccccccccccc} {x + 1}&1&1\\ 1&{x + 1}&1\\ 1&1&{x + 1} \end{array}} \right| is increasing on
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Correct option: C
R−[−2,  0]R - \left[ { - 2,\;0} \right]
Option C (R−[−2,  0]R - \left[ { - 2,\;0} \right]) is correct because the function is increasing when its derivative is positive, which occurs outside the interval [-2, 0].

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