Find the Absolute Extreme Values of the Function on the Interval

Multiple Choice

Find the absolute extreme values of the function on the interval.
- $$f ( x ) = | x - 7 | , \quad 5 \leq x \leq 10$$

A) absolute maximum is 3 at $x = 10$ ; absolute minimum is 2 at $x = 5$
B) absolute maximum is 2 at $x = 5$ ; absolute minimum is 0 at $x = 7$
C) absolute maximum is $- 2$ at $x = 5$ ; absolute minimum is 3 at $x = 10$
D) absolute maximum is 3 at $x = 10$ ; absolute minimum is 0 at $x = 7$