The sum of all local minimum values of the function f(x) as defin… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 28 January, Shift 1Functions

The sum of all local minimum values of the function $f(x)$ as defined below is: $f(x)=\left\{\begin{array}{ll}1-2x & \text{if } x<-1\\ \frac{1}{3}(7+2|x|) & \text{if } -1 \leq x \leq 2\\ \frac{11}{18}(x-4)(x-5) & \text{if } x>2\end{array}\right.$

A
$\frac{167}{72}$
B
$\frac{171}{72}$
C
$\frac{131}{72}$
D
$\frac{157}{72}$

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