Can an absolute value function have a minimum?
The function is increasing on [0,∞) and decreasing on (−∞,0]. The relative minimum value of f is the same as the absolute minimum, namely 0 which occurs at (0,0).
The function is increasing on [0,∞) and decreasing on (−∞,0]. The relative minimum value of f is the same as the absolute minimum, namely 0 which occurs at (0,0).