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 :

Question

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 :

$\frac{3}{4}$