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