Question

Pleasee help me! I've been struggling forever.

Answer 1

The function is f(x) = - √(-x).

And you need to analyze the domain and the range of the function.

Here it is the analysis and conclusion:

1) The domain of the graph is the set of x-values for which the function is defined, that is - x ≥ 0 => x ≤ 0 => all real numbers less than or equal to zero.

2) The range of the grpah is the set 0 images (or y-values) feasible. As you see on the graph that is y ≤ 0 => all real numbers less than or equal to zero.

3) Conclusion: the only statement that meet those facts is the third one: the range and the domain of the graph are the same.

Answer: the correct statement is the fourth one: the range and the domain of the graph are the same.