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Find the extreme values and where they occur for $f(x) = \left| {x - 1} \right| + \left| {x + 1} \right|$ on the interval $[-4, 5]$.

A

Absolute maximum of $1$ on $[-1, 1]$ and absolute minimum of $8$ at $x = -4$.

B

Absolute minimum of $2$ on $[-1, 1]$ and absolute maximum of $10$ at $x = 5$.

C

Absolute maximum of $2$ on $[-1, 1]$ and absolute minimum of $-10$ at $x = 5$.

D

Absolute maximum of $2$ on $[-4, 1]$ and absolute minimum of $0$ on $[1, 5]$.

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