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Functions question

2023 · 31 Jan · Shift 2 · Q32

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PYQ Library
JEE Main
Mathematics
Functions
2023 · 31 Jan · Shift 2 · Q32

Functions question

2023 · 31 Jan · Shift 2 · Q32

JEE MainMathematicsFunctionsMCQ+4 / −1

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 :

A
$\frac{3}{4}$
B
$\frac{3}{2}$
C
$\frac{1}{4}$
D
$\frac{5}{4}$

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