Question

The range of f(x) = |-x| is _____.

y < 0 , y > 0 , y ≤ 0 , y ≥ 0

Answer 1

This is an absolute value , for example |-6| = 6 and |-0| = 0 so your answer is

Y >= 0 ( your last choice)

Answer 2

y ≥ 0

Explanation:

The real absolute value function is defined on the set of all real numbers, assigning each real number its respective absolute value. Formally, the absolute value of any real number x, is defined by:

`|x|=x,\hspace{3}if\hspace{3}x\geq0\\|x|=-x,\hspace{3}if\hspace{3}x<0`

The domain of the function is all real numbers, and by definition, the absolute value of x will always be greater than or equal to zero and never negative. Hence:

`Domain:\\x\in R\\Range:\\y\in R : y\geq0`

I attached you a picture of the graph.