89.7k views
0 votes
I need to find the domain and range and fill out the t chart

I need to find the domain and range and fill out the t chart-example-1

1 Answer

3 votes

Given:


y=\sqrt[3]{x}+1

Sol:.


\begin{gathered} y=\sqrt[3]{x}+1 \\ x=-8 \\ y=\sqrt[3]{-8}+1 \\ y=-2+1 \\ y=-1 \end{gathered}

At x=-1


\begin{gathered} y=\sqrt[3]{x}+1 \\ y=\sqrt[3]{-1}+1 \\ y=-1+1 \\ y=0 \end{gathered}

At x=0


\begin{gathered} y=\sqrt[3]{x}+1 \\ y=\sqrt[3]{0}+1 \\ y=1 \end{gathered}

At x=1


\begin{gathered} y=\sqrt[3]{x}+1 \\ y=\sqrt[3]{1}+1 \\ y=2 \end{gathered}

At x=8


\begin{gathered} y=\sqrt[3]{x}+1 \\ y=\sqrt[3]{8}+1 \\ y=2+1 \\ y=3 \end{gathered}

Graph of function is:

Domain of function :


x\in\mathfrak{\Re }\colon x\ge0

All possible real number use input for the function so the all real number is domain

Range of function:


y\in\mathfrak{\Re }\colon y\ge1

I need to find the domain and range and fill out the t chart-example-1
User Boqapt
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories