Graph the function and determine its absolute extreme values.
$f\left(x\right)=\mid x-1\mid +\mid x+5\mid$, $-7\le x\le 5$

Absolute maximum: $6$ on the interval $\(\left\[\lbrack\)-5,1\(\right\]\rbrack\)$

Absolute minimum: $14$ at $x=5$

Absolute maximum: $6$ on the interval $\(\left\[\lbrack\)-5,1\(\right\]\rbrack\)$

Absolute minimum: $14$ at $x=-7$

Absolute maximum: $14$ at $x=5$

Absolute minimum: $6$ on the interval $\(\left\[\lbrack\)-5,1\(\right\]\rbrack\)$

Absolute maximum: $14$ at $x=-7$

Absolute minimum: $6$ on the interval $\(\left\[\lbrack\)-5,1\(\right\]\rbrack\)$