Question

On the coordinate grid, the graph of==√x - 1 isshown. It is a reflection and translationof y = √√x.432+1-7-6-5-4-3-2--2-3-4N65+9923 45 6 7 xWhat is the range of the graphed function?{x 1-2

Answer 1

y

Step-by-step explanation:

We were given that:

`\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}`

This thus means that the range of the function is given by:

`=\left\y∈R\right\`

y