Graph Using a Table of Values y = cube root of x+3

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

Substitute $- 2$ for $x$ and find the result for $y$ .

$y = \sqrt[3]{(- 2) + 3}$

Simplify $\sqrt[3]{(- 2) + 3}$ .

Add $- 2$ and $3$ .

$y = \sqrt[3]{1}$

Any root of $1$ is $1$ .

$y = 1$

Substitute $- 1$ for $x$ and find the result for $y$ .

$y = \sqrt[3]{(- 1) + 3}$

Add $- 1$ and $3$ .

$y = \sqrt[3]{2}$

Substitute $0$ for $x$ and find the result for $y$ .

$y = \sqrt[3]{(0) + 3}$

Add $0$ and $3$ .

$y = \sqrt[3]{3}$

Substitute $1$ for $x$ and find the result for $y$ .

$y = \sqrt[3]{(1) + 3}$

Add $1$ and $3$ .

$y = \sqrt[3]{4}$

Substitute $2$ for $x$ and find the result for $y$ .

$y = \sqrt[3]{(2) + 3}$

Add $2$ and $3$ .

$y = \sqrt[3]{5}$

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & 1 \\ - 1 & \sqrt[3]{2} \\ 0 & \sqrt[3]{3} \\ 1 & \sqrt[3]{4} \\ 2 & \sqrt[3]{5} \end{array}$