Step-by-step explanation:
first of all I have to say the range should be " y >= 0" and not just "y > 0", because x can be 0, and then y is 0 too.
but under the the same assumption of the definition above, the correct answer is B, y < 0.
because a×|x| means we multiply a negative value with a positive value. and that result is always a negative value.
so, it cannot be C.
and it cannot be A, because
if |x| < 1 (e.g. 0.5), then a×|x| > a, as e.g. -1 > -2
