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