Answer:
{y | y is a real number}
Explanation:
We were given that:
[tex]\begin{gathered} y=\sqrt[3]{-x-1} \\ \text{ To obtain the range, we will do that as shown below:} \\ when:x=-7 \\ y=\sqrt[3]{-7-1} \\ y=\sqrt[3]{-8}=-2 \\ y=-2 \\ \\ when:x=-26 \\ y=\sqrt[3]{-26-1} \\ y=\sqrt[3]{-27}=-3 \\ y=-3 \\ \\ when:x=0 \\ y=\sqrt[3]{0-1} \\ y=\sqrt[3]{-1}=-1 \\ y=-1 \\ \\ when:x=65 \\ y=\sqrt[3]{65-1} \\ y=\sqrt[3]{64}=4 \end{gathered}[/tex]
This thus means that the range of the function is given by:
[tex]=\left\{y|y∈R\right\}[/tex]
{y | y is a real number}
