Please help me with this question:

If a function $f(x)$ in the domain $x âˆˆ [0, 2]$ is

$f(x) = |x âˆ’ 1| + |x^2 âˆ’ 2x|$,

then the minimum value is $[1-8]$ and the maximum one is $[1-9]$ .

My answer is the maximum is $\dfrac 5 4$ and the minimum is $1$ but I think I am wrong

If a function $f(x)$ in the domain $x âˆˆ [0, 2]$ is

$f(x) = |x âˆ’ 1| + |x^2 âˆ’ 2x|$,

then the minimum value is $[1-8]$ and the maximum one is $[1-9]$ .

My answer is the maximum is $\dfrac 5 4$ and the minimum is $1$ but I think I am wrong

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