Answer
See graph
Work Step by Step
Given \begin{equation}
h(x)=-\sqrt{x-3}.
\end{equation} This is an even root function because the index, $n=2$, is even. The radicand must be positive. So, we require $$x-3\geq 0\implies x\geq 6.$$ 1) The domain is $ x\geq 3$.
Make a table of the function, $h(x)$, versus $x$.
\begin{equation}
\begin{array}{|c|cccc|}
\hline \boldsymbol{x} & 8 & 10 & 15 & 25 \\
\hline \boldsymbol{h}(\boldsymbol{x})=-\sqrt{\boldsymbol{x}-\mathbf{3}} & -2.2 & -2.6 & -3.5 & -4.7 \\
\hline
\end{array}
\end{equation} Plot the points from the table and join them by a smooth curve to get the graph of the function.
