Algebra Examples

$f (x) = \sqrt[3]{x + 5}$

Step 1

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

$y = \sqrt[3]{(- 2) + 5}$

Step 2

Add $- 2$ and $5$ .

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

Step 3

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

$y = \sqrt[3]{(- 1) + 5}$

Step 4

Add $- 1$ and $5$ .

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

Step 5

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

$y = \sqrt[3]{(0) + 5}$

Step 6

Add $0$ and $5$ .

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

Step 7

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

$y = \sqrt[3]{(1) + 5}$

Step 8

Add $1$ and $5$ .

$y = \sqrt[3]{6}$

Step 9

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

$y = \sqrt[3]{(2) + 5}$

Step 10

Add $2$ and $5$ .

$y = \sqrt[3]{7}$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & \sqrt[3]{3} \\ - 1 & \sqrt[3]{4} \\ 0 & \sqrt[3]{5} \\ 1 & \sqrt[3]{6} \\ 2 & \sqrt[3]{7} \end{array}$

Step 12