The sum of the maximum and minimum values of the function f(x)=|5 x-7|+[x²+2 x] in the interval [5/4, 2], where [t] is the greatest integer ≤ t, is _ _ _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 25 Jul, Evening shift · Q26

JEE Main 202225 Jul, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

The sum of the maximum and minimum values of the function

f(x)=|5 x-7|+\left[x^{2}+2 x\right]

in the interval

\left[\frac{5}{4}, 2\right]

, where

[t]

is the greatest integer

\leq t

, is ______________.

Your answerType your answer. Integers and decimals are accepted.