For the interval give the maximum and minimum value of the function ƒ(x) = |x|. [−7,−2] a. maximum: −2; minimum: −7 b. maximum: 2; minimum: 7 c. maximum: −7; minimum: −2 d. maximum: 7; minimum: 2

Max:  7; min:  2

Step-by-step explanation:

Recall that the graph of the absolute value function y = |x| resembles a "V" that opens up and has its vertex at (0,0).  Its range is [0, infinity), which is another way of saying that all values of y = |x| are either zero or positive.

|-7| = 7 and |-2| = 2.

The further from x = 0 that we move, the greater the output of the absolute value function will be.  x = -7 is further from the origin than is x = -2.  Thus,

the maximum of y = |x| on [-7, -2] is 7 and the minimum is 2.