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Mathematics · 2022

JEE Main · 25 July 2022, Shift 2 · Q24

The sum of the maximum and minimum values of the function f(x)=|5 x-7|+[x^2+2 x] in the interval [5/4, 2], where [t] is the greatest integer ≤ t, is…

The sum of the maximum and minimum values of the function $\displaystyle f(x)=|5 x-7|+\left[x^2+2 x\right]$ in the interval $\displaystyle \left[\frac{5}{4}, 2\right]$, where $\displaystyle [t]$ is the greatest integer $\displaystyle \leq t$, is \_\_\_\_.
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