Answer
1) Domain: $x\geq 4$
Work Step by Step
Given \begin{equation}
h(x)=-\sqrt{x-4}.
\end{equation} This is an even root function because the index, $n=2$, is even. The radicand must be positive. So, we require $x-4 \geq 0 \Longrightarrow x \geq 4.$
1) The domain is $x\geq 4$
Make a table of the function $f$ versus $x$.
\begin{equation}
\begin{array}{|c|cccc|}
\hline \boldsymbol{x} & 5 & 10 & 15 & 20 \\
\hline \boldsymbol{h}(\boldsymbol{x})=-\sqrt{\boldsymbol{x}-\mathbf{4}} & -1.00 & -2.45 & -3.32 & -4.00 \\
\hline
\end{array}
\end{equation} 2) See the graph.
