Graph f(x)=5x^3+x-8

$f (x) = 5 x^{3} + x - 8$

Find the point at $x = - 2$ .

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

$f (- 2) = 5 {(- 2)}^{3} - 2 - 8$

Simplify the result.

Remove parentheses.

$f (- 2) = 5 {(- 2)}^{3} - 2 - 8$

Simplify each term.

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

$f (- 2) = 5 \cdot - 8 - 2 - 8$

Multiply $5$ by $- 8$ .

$f (- 2) = - 40 - 2 - 8$

Simplify by subtracting numbers.

Subtract $2$ from $- 40$ .

$f (- 2) = - 42 - 8$

Subtract $8$ from $- 42$ .

$f (- 2) = - 50$

The final answer is $- 50$ .

$- 50$

Convert $- 50$ to decimal.

$y = - 50$

Find the point at $x = - 1$ .

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

$f (- 1) = 5 {(- 1)}^{3} - 1 - 8$

Simplify the result.

Remove parentheses.

$f (- 1) = 5 {(- 1)}^{3} - 1 - 8$

Simplify each term.

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

$f (- 1) = 5 \cdot - 1 - 1 - 8$

Multiply $5$ by $- 1$ .

$f (- 1) = - 5 - 1 - 8$

Simplify by subtracting numbers.

Subtract $1$ from $- 5$ .

$f (- 1) = - 6 - 8$

Subtract $8$ from $- 6$ .

$f (- 1) = - 14$

The final answer is $- 14$ .

$- 14$

Convert $- 14$ to decimal.

$y = - 14$

Find the point at $x = 0$ .

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

$f (0) = 5 {(0)}^{3} + 0 - 8$

Simplify the result.

Remove parentheses.

$f (0) = 5 {(0)}^{3} + 0 - 8$

Simplify each term.

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

$f (0) = 5 \cdot 0 + 0 - 8$

Multiply $5$ by $0$ .

$f (0) = 0 + 0 - 8$

Simplify by adding and subtracting.

Add $0$ and $0$ .

$f (0) = 0 - 8$

Subtract $8$ from $0$ .

$f (0) = - 8$

The final answer is $- 8$ .

$- 8$

Convert $- 8$ to decimal.

$y = - 8$

Find the point at $x = 1$ .

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

$f (1) = 5 {(1)}^{3} + 1 - 8$

Simplify the result.

Remove parentheses.

$f (1) = 5 {(1)}^{3} + 1 - 8$

Simplify each term.

One to any power is one.

$f (1) = 5 \cdot 1 + 1 - 8$

Multiply $5$ by $1$ .

$f (1) = 5 + 1 - 8$

Simplify by adding and subtracting.

Add $5$ and $1$ .

$f (1) = 6 - 8$

Subtract $8$ from $6$ .

$f (1) = - 2$

The final answer is $- 2$ .

$- 2$

Convert $- 2$ to decimal.

$y = - 2$

Find the point at $x = 2$ .

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

$f (2) = 5 {(2)}^{3} + 2 - 8$

Simplify the result.

Remove parentheses.

$f (2) = 5 {(2)}^{3} + 2 - 8$

Simplify each term.

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

$f (2) = 5 \cdot 8 + 2 - 8$

Multiply $5$ by $8$ .

$f (2) = 40 + 2 - 8$

Simplify by adding and subtracting.

Add $40$ and $2$ .

$f (2) = 42 - 8$

Subtract $8$ from $42$ .

$f (2) = 34$

The final answer is $34$ .

$34$

Convert $34$ to decimal.

$y = 34$

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

$\begin{array}{c} x & y \\ - 2 & - 50 \\ - 1 & - 14 \\ 0 & - 8 \\ 1 & - 2 \\ 2 & 34 \end{array}$

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

Falls to the left and rises to the right

$\begin{array}{c} x & y \\ - 2 & - 50 \\ - 1 & - 14 \\ 0 & - 8 \\ 1 & - 2 \\ 2 & 34 \end{array}$

Graph f(x)=5x^3+x-8

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