Graph the Function, Then Find the Extreme Values of the Function

Graph the function, then find the extreme values of the function on the interval and indicate where they occur.
- $y = | x - 1 | - | x - 4 |$ on the interval $- 2 < x < 7$

A) Absolute maximum is 4
on the interval $[4,7)$ ;
Absolute minimum is $-2$
on the interval $(-2,1]$


B) Absolute maximum is 3
on the interval $[ 4,7 )$ ;
Absolute minimum is $- 2$
on the interval $( - 2,2 ]$


C) Absolute maximum is $-3$
on the interval $[4,7)$ ;
Absolute minimum is 3
on the interval $(-2,1]$



D)
Absolute maximum is 3
on the interval $[4,7)$ ;
Absolute minimum is $-3$
on the interval $(-2,1]$