Graph f(x)=4x-9-x^3

$f (x) = 4 x - 9 - x^{3}$

Find the point at $x = - 2$ .

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

$f (- 2) = 4 (- 2) - 9 - {(- 2)}^{3}$

Simplify the result.

Simplify each term.

Multiply $4$ by $- 2$ .

$f (- 2) = - 8 - 9 - {(- 2)}^{3}$

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

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

Multiply $- 1$ by $- 8$ .

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

Simplify by adding and subtracting.

Subtract $9$ from $- 8$ .

$f (- 2) = - 17 + 8$

Add $- 17$ and $8$ .

$f (- 2) = - 9$

The final answer is $- 9$ .

$- 9$

Convert $- 9$ to decimal.

$y = - 9$

Find the point at $x = - 1$ .

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

$f (- 1) = 4 (- 1) - 9 - {(- 1)}^{3}$

Simplify the result.

Simplify each term.

Multiply $4$ by $- 1$ .

$f (- 1) = - 4 - 9 - {(- 1)}^{3}$

Multiply $- 1$ by ${(- 1)}^{3}$ by adding the exponents.

Multiply $- 1$ by ${(- 1)}^{3}$ .

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

$f (- 1) = - 4 - 9 + (- 1) {(- 1)}^{3}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$f (- 1) = - 4 - 9 + {(- 1)}^{1 + 3}$

Add $1$ and $3$ .

$f (- 1) = - 4 - 9 + {(- 1)}^{4}$

Raise $- 1$ to the power of $4$ .

$f (- 1) = - 4 - 9 + 1$

Simplify by adding and subtracting.

Subtract $9$ from $- 4$ .

$f (- 1) = - 13 + 1$

Add $- 13$ and $1$ .

$f (- 1) = - 12$

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.

$f (0) = 4 (0) - 9 - {(0)}^{3}$

Simplify the result.

Simplify each term.

Multiply $4$ by $0$ .

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

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

$f (0) = 0 - 9 - 0$

Multiply $- 1$ by $0$ .

$f (0) = 0 - 9 + 0$

Simplify by adding and subtracting.

Subtract $9$ from $0$ .

$f (0) = - 9 + 0$

Add $- 9$ and $0$ .

$f (0) = - 9$

The final answer is $- 9$ .

$- 9$

Convert $- 9$ to decimal.

$y = - 9$

Find the point at $x = 1$ .

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

$f (1) = 4 (1) - 9 - {(1)}^{3}$

Simplify the result.

Simplify each term.

Multiply $4$ by $1$ .

$f (1) = 4 - 9 - {(1)}^{3}$

One to any power is one.

$f (1) = 4 - 9 - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$f (1) = 4 - 9 - 1$

Simplify by subtracting numbers.

Subtract $9$ from $4$ .

$f (1) = - 5 - 1$

Subtract $1$ from $- 5$ .

$f (1) = - 6$

The final answer is $- 6$ .

$- 6$

Convert $- 6$ to decimal.

$y = - 6$

Find the point at $x = 2$ .

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

$f (2) = 4 (2) - 9 - {(2)}^{3}$

Simplify the result.

Simplify each term.

Multiply $4$ by $2$ .

$f (2) = 8 - 9 - {(2)}^{3}$

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

$f (2) = 8 - 9 - 1 \cdot 8$

Multiply $- 1$ by $8$ .

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

Simplify by subtracting numbers.

Subtract $9$ from $8$ .

$f (2) = - 1 - 8$

Subtract $8$ from $- 1$ .

$f (2) = - 9$

The final answer is $- 9$ .

$- 9$

Convert $- 9$ to decimal.

$y = - 9$

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

$\begin{array}{c} x & y \\ - 2 & - 9 \\ - 1 & - 12 \\ 0 & - 9 \\ 1 & - 6 \\ 2 & - 9 \end{array}$

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

Rises to the left and falls to the right

$\begin{array}{c} x & y \\ - 2 & - 9 \\ - 1 & - 12 \\ 0 & - 9 \\ 1 & - 6 \\ 2 & - 9 \end{array}$

Graph f(x)=4x-9-x^3

Related Questions

Support LCMGCF.com by disabling your adblocker.