Answer
Graph of $
f(x)=\sqrt[3]{x}-3
$
Work Step by Step
Substituting values of $x$ in the given function, $
f(x)=\sqrt[3]{x}-3
$, results to
\begin{array}{l|r}
\text{If }x=-1: & \text{If }x=0
\\\\
f(x)=y=\sqrt[3]{x}-3 &
f(x)=y=\sqrt[3]{x}-3
\\
y=\sqrt[3]{-1}-3 &
y=\sqrt[3]{0}-3
\\
y=-1-3 &
y=0-3
\\
y=-4 &
y=-3
\end{array}
\begin{array}{l|r}
\text{If }x=1: & \text{If }x=8
\\\\
f(x)=y=\sqrt[3]{x}-3 &
f(x)=y=\sqrt[3]{x}-3
\\
y=\sqrt[3]{1}-3 &
y=\sqrt[3]{8}-3
\\
y=1-3 &
y=2-3
\\
y=-2 &
y=-1
.\end{array}
Connecting the points $
\left(-1,-4\right),
\left(0,-3\right),
\left(1,-2\right),
\text{ and }
\left(8,-1\right)
$ with a curve gives the graph of $
f(x)=\sqrt[3]{x}-3
$.
