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JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1
If f(x)={3x2+12x−1,−1≤x≤237−x,2<x≤3f(x)=\left\{\begin{array}{ll}3 x^2+12 x-1, & -1 \leq x \leq 2 \\ 37-x, & 2 < x \leq 3\end{array}\right., then
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Correct option: A
f(x)f(x) is increasing on [−1,2][-1,2]
Option A (f(x)f(x) is increasing on [−1,2][-1,2]) is correct because the derivative of f(x)f(x) is positive on this interval, indicating that f(x)f(x) is increasing.

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