Question

The function f(x) = StartRoot negative x EndRoot is represented by the graph. Which statement is correct?

The domain of the function is all real numbers greater than 0.
The range of the function is all real numbers less than or equal to 0.
The domain of the function is all values less than 0.
The range of the function is all real numbers greater than or equal to 0.

Answer 1

D on Edge 2021

Explanation:

Answer 2

D. The range of the function is all real numbers greater than or equal to 0.

Explanation:

The graph of the function
`y=√(-x)` is shown in attached diagram.

1. The domain of the function is the set of all possible values for input (for x). Hence, the domain of this function is

`x\in (-\infty,0]`

2. The range of the function is the set of all possible values for output (for y), so the range of this function is

`y\in [0,\infty)`

As you can see, only option D is true - The range of the function is all real numbers greater than or equal to 0.