Graph Using a Table of Values y=x^3-3

$y = x^{3} - 3$

Step 1

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

$y = {(- 2)}^{3} - 3$

Step 2

Simplify ${(- 2)}^{3} - 3$ .

Raise $- 2$ to the power of $3$ .

$y = - 8 - 3$

Subtract $3$ from $- 8$ .

$y = - 11$

Step 3

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

$y = {(- 1)}^{3} - 3$

Step 4

Simplify ${(- 1)}^{3} - 3$ .

Raise $- 1$ to the power of $3$ .

$y = - 1 - 3$

Subtract $3$ from $- 1$ .

$y = - 4$

Step 5

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

$y = {(0)}^{3} - 3$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = 0^{3} - 3$

Remove parentheses.

$y = {(0)}^{3} - 3$

Simplify ${(0)}^{3} - 3$ .

Raising $0$ to any positive power yields $0$ .

$y = 0 - 3$

Subtract $3$ from $0$ .

$y = - 3$

Step 7

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

$y = {(1)}^{3} - 3$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = 1^{3} - 3$

Remove parentheses.

$y = {(1)}^{3} - 3$

Simplify ${(1)}^{3} - 3$ .

One to any power is one.

$y = 1 - 3$

Subtract $3$ from $1$ .

$y = - 2$

Step 9

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

$y = {(2)}^{3} - 3$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = 2^{3} - 3$

Remove parentheses.

$y = {(2)}^{3} - 3$

Simplify ${(2)}^{3} - 3$ .

Raise $2$ to the power of $3$ .

$y = 8 - 3$

Subtract $3$ from $8$ .

$y = 5$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 11 \\ - 1 & - 4 \\ 0 & - 3 \\ 1 & - 2 \\ 2 & 5 \end{array}$

Step 12

Graph Using a Table of Values y=x^3-3

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