Answer
Graph of $
f(x)=\sqrt{x-5}
$
Work Step by Step
Substituting values of $x$ in the given function, $
f(x)=\sqrt{x-5}
$, results to
\begin{array}{l|r}
\text{If }x=5: & \text{If }x=6
\\\\
f(x)=y=\sqrt{x-5} &
f(x)=y=\sqrt{x-5}
\\
y=\sqrt{5-5} &
y=\sqrt{6-5}
\\
y=\sqrt{0} &
y=\sqrt{1}
\\
y=0 &
y=1
\end{array}
\begin{array}{l|r}
\text{If }x=9 & \text{If }x=14
\\\\
f(x)=y=\sqrt{x-5} &
f(x)=y=\sqrt{x-5}
\\
y=\sqrt{9-5} &
y=\sqrt{14-5}
\\
y=\sqrt{4} &
y=\sqrt{9}
\\
y=2 &
y=3
.\end{array}
Connecting the points $
\left(5,0\right),
\left(6,1\right),
\left(9,2\right),
\text{ and }
\left(14,3\right)
$ with a curve gives the graph of $
f(x)=\sqrt{x-5}
$.
