identifying the domain and range\nthe function $f(x)=-sqrt{x}$ is represented by the graph.\nwhat is the…

identifying the domain and range\nthe function $f(x)=-sqrt{x}$ is represented by the graph.\nwhat is the range of the given function?\n{y | all real numbers}\n{y | y ≤ 0}\n{y | y ≥ 0}

identifying the domain and range\nthe function $f(x)=-sqrt{x}$ is represented by the graph.\nwhat is the range of the given function?\n{y | all real numbers}\n{y | y ≤ 0}\n{y | y ≥ 0}

Answer

Explanation:

Step1: Analyze the square - root function

The function is $f(x)=-\sqrt{x}$. The square - root function $\sqrt{x}$ is defined for $x\geq0$. And the negative sign in front of $\sqrt{x}$ reflects the graph of $y = \sqrt{x}$ over the $x$-axis.

Step2: Determine the range

Since $\sqrt{x}\geq0$ for all $x$ in its domain ($x\geq0$), then $-\sqrt{x}\leq0$. So the set of all possible $y$ - values (range) of the function $y = f(x)=-\sqrt{x}$ is ${y|y\leq0}$.

Answer:

{y | y ≤ 0}