Graph y=(2x)^3-4

$y = {(2 x)}^{3} - 4$

Find the point at $x = - 2$ .

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

$f (- 2) = 8 {(- 2)}^{3} - 4$

Simplify the result.

Simplify each term.

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

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

Multiply $8$ by $- 8$ .

$f (- 2) = - 64 - 4$

Subtract $4$ from $- 64$ .

$f (- 2) = - 68$

The final answer is $- 68$ .

$- 68$

Convert $- 68$ to decimal.

$y = - 68$

Find the point at $x = - 1$ .

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

$f (- 1) = 8 {(- 1)}^{3} - 4$

Simplify the result.

Simplify each term.

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

$f (- 1) = 8 \cdot - 1 - 4$

Multiply $8$ by $- 1$ .

$f (- 1) = - 8 - 4$

Subtract $4$ from $- 8$ .

$f (- 1) = - 12$

The final answer is $- 12$ .

$- 12$

Convert $- 12$ to decimal.

$y = - 12$

Find the point at $x = 0$ .

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

$f (0) = 8 {(0)}^{3} - 4$

Simplify the result.

Simplify each term.

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

$f (0) = 8 \cdot 0 - 4$

Multiply $8$ by $0$ .

$f (0) = 0 - 4$

Subtract $4$ from $0$ .

$f (0) = - 4$

The final answer is $- 4$ .

$- 4$

Convert $- 4$ to decimal.

$y = - 4$

Find the point at $x = 1$ .

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

$f (1) = 8 {(1)}^{3} - 4$

Simplify the result.

Simplify each term.

One to any power is one.

$f (1) = 8 \cdot 1 - 4$

Multiply $8$ by $1$ .

$f (1) = 8 - 4$

Subtract $4$ from $8$ .

$f (1) = 4$

The final answer is $4$ .

$4$

Convert $4$ to decimal.

$y = 4$

Find the point at $x = 2$ .

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

$f (2) = 8 {(2)}^{3} - 4$

Simplify the result.

Simplify each term.

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

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

Multiply $8$ by $8$ .

$f (2) = 64 - 4$

Subtract $4$ from $64$ .

$f (2) = 60$

The final answer is $60$ .

$60$

Convert $60$ to decimal.

$y = 60$

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

$\begin{array}{c} x & y \\ - 2 & - 68 \\ - 1 & - 12 \\ 0 & - 4 \\ 1 & 4 \\ 2 & 60 \end{array}$

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

Falls to the left and rises to the right

$\begin{array}{c} x & y \\ - 2 & - 68 \\ - 1 & - 12 \\ 0 & - 4 \\ 1 & 4 \\ 2 & 60 \end{array}$

Graph y=(2x)^3-4

Related Questions

Support LCMGCF.com by disabling your adblocker.