The absolute minimum value, of the function f(x)=|x²-x+1|+[x²-x+1], where [t] denotes the greatest integer function, in the interval [-1,2], is:

Sets, Relations and Functions: JEE Main 2023 Mathematics question

JEE Main 2023 · 31 Jan, Evening shift · Q3872

JEE Main 202331 Jan, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002

The absolute minimum value, of the function

f(x)=\left|x^{2}-x+1\right|+\left[x^{2}-x+1\right]

, where

[t]

denotes the greatest integer function, in the interval

[-1,2]

, is :