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

Multiple Choice

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 $(-2,1]$