Graph f(x)=x^3-9

$f (x) = x^{3} - 9$

Step 1

Find the point at $x = - 2$ .

Replace the variable $x$ with $- 2$ in the expression.

$f (- 2) = {(- 2)}^{3} - 9$

Simplify the result.

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

$f (- 2) = - 8 - 9$

Subtract $9$ from $- 8$ .

$f (- 2) = - 17$

The final answer is $- 17$ .

$- 17$

Convert $- 17$ to decimal.

$y = - 17$

Step 2

Find the point at $x = - 1$ .

Replace the variable $x$ with $- 1$ in the expression.

$f (- 1) = {(- 1)}^{3} - 9$

Simplify the result.

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

$f (- 1) = - 1 - 9$

Subtract $9$ from $- 1$ .

$f (- 1) = - 10$

The final answer is $- 10$ .

$- 10$

Convert $- 10$ to decimal.

$y = - 10$

Step 3

Find the point at $x = 0$ .

Replace the variable $x$ with $0$ in the expression.

$f (0) = {(0)}^{3} - 9$

Simplify the result.

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

$f (0) = 0 - 9$

Subtract $9$ from $0$ .

$f (0) = - 9$

The final answer is $- 9$ .

$- 9$

Convert $- 9$ to decimal.

$y = - 9$

Step 4

Find the point at $x = 1$ .

Replace the variable $x$ with $1$ in the expression.

$f (1) = {(1)}^{3} - 9$

Simplify the result.

One to any power is one.

$f (1) = 1 - 9$

Subtract $9$ from $1$ .

$f (1) = - 8$

The final answer is $- 8$ .

$- 8$

Convert $- 8$ to decimal.

$y = - 8$

Step 5

Find the point at $x = 2$ .

Replace the variable $x$ with $2$ in the expression.

$f (2) = {(2)}^{3} - 9$

Simplify the result.

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

$f (2) = 8 - 9$

Subtract $9$ from $8$ .

$f (2) = - 1$

The final answer is $- 1$ .

$- 1$

Convert $- 1$ to decimal.

$y = - 1$

Step 6

The cubic function can be graphed using the function behavior and the points.

$\begin{array}{c} x & y \\ - 2 & - 17 \\ - 1 & - 10 \\ 0 & - 9 \\ 1 & - 8 \\ 2 & - 1 \end{array}$

Step 7

The cubic function can be graphed using the function behavior and the selected points.

Falls to the left and rises to the right

$\begin{array}{c} x & y \\ - 2 & - 17 \\ - 1 & - 10 \\ 0 & - 9 \\ 1 & - 8 \\ 2 & - 1 \end{array}$

Step 8

Graph f(x)=x^3-9

Related Questions

Support LCMGCF.com by disabling your adblocker.