The range of f(x) = |x| is y > 0. If a < 0 for g(x) = a|x|, what is the range of the function of g?

A. Y < a
B. Y < 0
C. Y > 0

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

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

idk

step-by-step explanation: