To find the value of y, we need to replace each of the values of x in the equation of the function.
For example for the first value of x, -8, replace x for -8, this way:
![\begin{gathered} y=\sqrt[3]{x} \\ y=\sqrt[3]{-8} \\ y=-2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ccqg2ihxrlk5un8dpxsmkcpj3cyw9l694j.png)
The first value of y is -2.
Follow the same procedure for the resting values of x:
![\begin{gathered} y=\sqrt[3]{-1} \\ y=-1 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/hwhew95s7wk373e09ukv574dt7gtb06sdy.png)
![\begin{gathered} y=\sqrt[3]{0} \\ y=0 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/f378dg7a0fiwi4qxh71xg1ni402yb61qtu.png)
![\begin{gathered} y=\sqrt[3]{1} \\ y=1 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/61wfb6s14kvj6x5yacay8ipf44z0xsqcf4.png)
![\begin{gathered} y=\sqrt[3]{8} \\ y=2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/5otcsz4gu08fhbk6tylsjld71bj5ni23i0.png)
Now, fill in the table using the obtained values of y: