Graph f(x)=1/4x^3

$f (x) = \frac{1}{4} x^{3}$

Step 1

Find the point at $x = - 2$ .

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

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

Simplify the result.

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

$f (- 2) = \frac{- 8}{4}$

Divide $- 8$ by $4$ .

$f (- 2) = - 2$

The final answer is $- 2$ .

$- 2$

Convert $- 2$ to decimal.

$y = - 2$

Step 2

Find the point at $x = 0$ .

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

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

Simplify the result.

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

$f (0) = \frac{0}{4}$

Divide $0$ by $4$ .

$f (0) = 0$

The final answer is $0$ .

$0$

Convert $0$ to decimal.

$y = 0$

Step 3

Find the point at $x = 2$ .

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

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

Simplify the result.

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

$f (2) = \frac{8}{4}$

Divide $8$ by $4$ .

$f (2) = 2$

The final answer is $2$ .

$2$

Convert $2$ to decimal.

$y = 2$

Step 4

Find the point at $x = - 1$ .

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

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

Simplify the result.

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

$f (- 1) = \frac{- 1}{4}$

Move the negative in front of the fraction.

$f (- 1) = - \frac{1}{4}$

The final answer is $- \frac{1}{4}$ .

$- \frac{1}{4}$

Convert $- \frac{1}{4}$ to decimal.

$y = - 0.25$

Step 5

Find the point at $x = 1$ .

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

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

Simplify the result.

One to any power is one.

$f (1) = \frac{1}{4}$

The final answer is $\frac{1}{4}$ .

$\frac{1}{4}$

Convert $\frac{1}{4}$ to decimal.

$y = 0.25$

Step 6

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

$\begin{array}{c} x & y \\ - 2 & - 2 \\ - 1 & - 0.25 \\ 0 & 0 \\ 1 & 0.25 \\ 2 & 2 \end{array}$

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

$\begin{array}{c} x & y \\ - 2 & - 2 \\ - 1 & - 0.25 \\ 0 & 0 \\ 1 & 0.25 \\ 2 & 2 \end{array}$

Step 8

Graph f(x)=1/4x^3

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