Let f: ℝ → ℝ be a function defined by f(x) = ||x+2| - 2|x||. If m… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 3 April, Shift 2Applications of Derivatives (Monotonicity, Extrema)

Let $f : \mathbb{R} \rightarrow \mathbb{R}$ be a function defined by $f(x) = ||x+2| - 2|x||$ . If $m$ is the number of points of local minima of $f$ and $n$ is the number of points of local maxima of $f$ , then $m + n$ is

A
$5$
B
$3$
C
$2$
D
$4$

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