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.
- $y = | x + 4 | - | x - 5 |$ on the interval $- \infty < x < \infty$

A) Absolute maximum is 9
on the interval $[ 6 , \infty )$ ;
Absolute minimum is $- 9$
on the interval $( - \infty , 3 ]$


B) Absolute maximum is 10
on the interval $[ 5 , \infty )$ ;
Absolute minimum is $- 10$
on the interval $( - \infty , 4 ]$


C) Absolute maximum is 8
on the interval $[ 5 , \infty)$ ;
Absolute minimum is $\mathbf { - 8 }$ .
on the interval $( - \infty , 4 ]$


D) Absolute maximum is 9
on the interval $[ 5 , \infty )$ ;
Absolute minimum is $- 9$
on the interval $( - \infty , 4 ]$