Question

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

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.

Answer 1

C) The range of the function is all real numbers less than or equal to 0.

Answer 2

C) The range of the function is all real numbers less than or equal to 0.

Explanation:

Given function:

`f(x)=-√(x)`

Domain

The domain of a function is the set of all possible input values (x-values).

As the square root of a negative number cannot be taken, x ≥ 0.

Therefore, the domain of the function is all real numbers greater than or equal to 0.

Range

The range of a function is the set of all possible output values (y-values).

As the domain is x ≥ 0, the range of the function is all real numbers less than or equal to 0.