# The function f(x) = Negative Startroot x EndRoot is shown on the graph. On a coordinate plane, an absolute value graph

Question

The function f(x) = Negative Startroot x EndRoot is shown on the graph.

On a coordinate plane, an absolute value graph starts at (0, 0) and goes down and to the left through (4, negative 2).

Which statement is correct?

The domain of the function is all real numbers less than or equal to −1.
The range of the function is all real numbers greater than or equal to 0.
The range of the function is all real numbers less than or equal to 0.
The domain of the function is all real numbers less than or equal to 0.

in progress 0
3 weeks 2023-01-14T17:51:21+00:00 1 Answer 0 views 0

1. From that, we conclude that the correct statement is:
“The range of the function is all real numbers less than or equal to 0.”

### Which statement is correct about the given function?

Here we have the function:
f(x) = -√x
Now, remember that the argument of a square root can’t be a negative number, so the domain of our function is such that:
x ≥ 0.
Now, the maximum of the function (which is a decreasing function) is what we get when we evaluate on the minimum of the domain, so the maximum is:
f(0) = -√0 = 0
Then the range is the set of all real values equal or smaller than zero:
R: y ≤ 0.
From that, we conclude that the correct statement is:
“The range of the function is all real numbers less than or equal to 0.”