the function f(x)=-\\sqrt{x} is shown on the graph. which statement is correct? the domain of the function…

the function f(x)=-\\sqrt{x} 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.

the function f(x)=-\\sqrt{x} 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

Explanation:

Step1: Recall domain - definition

The domain of $y =-\sqrt{x}$ is the set of values for which the expression under the square - root is non - negative. So, $x\geq0$.

Step2: Recall range - definition

Since $\sqrt{x}\geq0$ for all $x$ in the domain, then $y =-\sqrt{x}\leq0$.

Answer:

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