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.
- $$y = | x + 2 | - | x - 7 | \text { on the interval } - \infty < x < \infty$$

A)

Absolute maximum is: 9 , on the interval $[ 7 , \infty )$ ; absolute minimum is: $- 9$ on the interval $( - \infty , 2 ]$
B)

Absolute maximum is: 9 , on the interval $[ 8 , \infty )$ ; absolute minimum is: $- 9$ on the interval $( - \infty , 1 ]$

C)

Absolute maximum is: 10 , on the interval $[ 7 , \infty )$ ; absolute minimum is: $- 10$ on the interval $( - \infty , 2 ]$
D)

Absolute maximum is: 8 , on the interval $[ 7 , \infty )$ ; absolute minimum is: $- 8$ on the interval $( - \infty , 2 ]$