Graph f(x)=4x^3

$f (x) = 4 x^{3}$

Step 1

Find the point at $x = - 2$ .

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

$f (- 2) = 4 {(- 2)}^{3}$

Simplify the result.

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

$f (- 2) = 4 \cdot - 8$

Multiply $4$ by $- 8$ .

$f (- 2) = - 32$

The final answer is $- 32$ .

$- 32$

Convert $- 32$ to decimal.

$y = - 32$

Step 2

Find the point at $x = - 1$ .

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

$f (- 1) = 4 {(- 1)}^{3}$

Simplify the result.

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

$f (- 1) = 4 \cdot - 1$

Multiply $4$ by $- 1$ .

$f (- 1) = - 4$

The final answer is $- 4$ .

$- 4$

Convert $- 4$ to decimal.

$y = - 4$

Step 3

Find the point at $x = 0$ .

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

$f (0) = 4 {(0)}^{3}$

Simplify the result.

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

$f (0) = 4 \cdot 0$

Multiply $4$ by $0$ .

$f (0) = 0$

The final answer is $0$ .

$0$

Convert $0$ to decimal.

$y = 0$

Step 4

Find the point at $x = 1$ .

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

$f (1) = 4 {(1)}^{3}$

Simplify the result.

One to any power is one.

$f (1) = 4 \cdot 1$

Multiply $4$ by $1$ .

$f (1) = 4$

The final answer is $4$ .

$4$

Convert $4$ to decimal.

$y = 4$

Step 5

Find the point at $x = 2$ .

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

$f (2) = 4 {(2)}^{3}$

Simplify the result.

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

$f (2) = 4 \cdot 8$

Multiply $4$ by $8$ .

$f (2) = 32$

The final answer is $32$ .

$32$

Convert $32$ to decimal.

$y = 32$

Step 6

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

$\begin{array}{c} x & y \\ - 2 & - 32 \\ - 1 & - 4 \\ 0 & 0 \\ 1 & 4 \\ 2 & 32 \end{array}$

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

$\begin{array}{c} x & y \\ - 2 & - 32 \\ - 1 & - 4 \\ 0 & 0 \\ 1 & 4 \\ 2 & 32 \end{array}$

Step 8

Graph f(x)=4x^3

Related Questions

Support LCMGCF.com by disabling your adblocker.