Graph f(x)=x^3+x^2

$f (x) = x^{3} + x^{2}$

Find the point at $x = - 2$ .

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

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

Simplify the result.

Simplify each term.

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

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

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

$f (- 2) = - 8 + 4$

Add $- 8$ and $4$ .

$f (- 2) = - 4$

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.

$f (- 1) = {(- 1)}^{3} + {(- 1)}^{2}$

Simplify the result.

Simplify each term.

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

$f (- 1) = - 1 + {(- 1)}^{2}$

Raise $- 1$ to the power of $2$ .

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

Add $- 1$ and $1$ .

$f (- 1) = 0$

The final answer is $0$ .

$0$

Convert $0$ to decimal.

$y = 0$

Find the point at $x = 1$ .

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

$f (1) = {(1)}^{3} + {(1)}^{2}$

Simplify the result.

Simplify each term.

One to any power is one.

$f (1) = 1 + {(1)}^{2}$

One to any power is one.

$f (1) = 1 + 1$

Add $1$ and $1$ .

$f (1) = 2$

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.

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

Simplify the result.

Simplify each term.

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

$f (2) = 8 + {(2)}^{2}$

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

$f (2) = 8 + 4$

Add $8$ and $4$ .

$f (2) = 12$

The final answer is $12$ .

$12$

Convert $12$ to decimal.

$y = 12$

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

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

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

Falls to the left and rises to the right

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

Graph f(x)=x^3+x^2

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