Graph f(x)=(x^2-3x-4)/(-3x)

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

Find the point at $x = - 2$ .

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

$f (- 2) = - \frac{((- 2) - 4) ((- 2) + 1)}{3 (- 2)}$

Simplify the result.

Cancel the common factor of $(- 2) - 4$ and $- 2$ .

Factor $2$ out of $((- 2) - 4) ((- 2) + 1)$ .

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

Cancel the common factors.

Factor $2$ out of $3 (- 2)$ .

$f (- 2) = - \frac{2 ((- 1 - 2) ((- 2) + 1))}{2 (3 \cdot (- 1))}$

Cancel the common factor.

$f (- 2) = - \frac{2 ((- 1 - 2) ((- 2) + 1))}{2 (3 \cdot (- 1))}$

Rewrite the expression.

$f (- 2) = - \frac{(- 1 - 2) ((- 2) + 1)}{3 \cdot (- 1)}$

Simplify the numerator.

Subtract $2$ from $- 1$ .

$f (- 2) = - \frac{- 3 (- 2 + 1)}{3 \cdot (- 1)}$

Add $- 2$ and $1$ .

$f (- 2) = - \frac{- 3 \cdot - 1}{3 \cdot (- 1)}$

Multiply $3$ by $- 1$ .

$f (- 2) = - \frac{- 3 \cdot - 1}{- 3}$

Simplify the expression.

Multiply $- 3$ by $- 1$ .

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

Divide $3$ by $- 3$ .

$f (- 2) = 1$

Multiply $- 1$ by $- 1$ .

$f (- 2) = 1$

The final answer is $1$ .

$1$

Convert $1$ to decimal.

$y = 1$

Find the point at $x = - 1$ .

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

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

Simplify the result.

Simplify the numerator.

Subtract $4$ from $- 1$ .

$f (- 1) = - \frac{- 5 (- 1 + 1)}{3 (- 1)}$

Add $- 1$ and $1$ .

$f (- 1) = - \frac{- 5 \cdot 0}{3 (- 1)}$

Simplify the expression.

Multiply $3$ by $- 1$ .

$f (- 1) = - \frac{- 5 \cdot 0}{- 3}$

Multiply $- 5$ by $0$ .

$f (- 1) = - \frac{0}{- 3}$

Divide $0$ by $- 3$ .

$f (- 1) = - 0$

Multiply $- 1$ by $0$ .

$f (- 1) = 0$

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.

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

Simplify the result.

Simplify the numerator.

Subtract $4$ from $1$ .

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

Add $1$ and $1$ .

$f (1) = - \frac{- 3 \cdot 2}{3 (1)}$

Simplify the expression.

Multiply $3$ by $1$ .

$f (1) = - \frac{- 3 \cdot 2}{3}$

Multiply $- 3$ by $2$ .

$f (1) = - \frac{- 6}{3}$

Divide $- 6$ by $3$ .

$f (1) = 2$

Multiply $- 1$ by $- 2$ .

$f (1) = 2$

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.

$f (2) = - \frac{((2) - 4) ((2) + 1)}{3 (2)}$

Simplify the result.

Cancel the common factor of $(2) - 4$ and $2$ .

Factor $2$ out of $((2) - 4) ((2) + 1)$ .

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

Cancel the common factors.

Factor $2$ out of $3 (2)$ .

$f (2) = - \frac{2 ((1 - 2) ((2) + 1))}{2 \cdot 3}$

Cancel the common factor.

$f (2) = - \frac{2 ((1 - 2) ((2) + 1))}{2 \cdot 3}$

Rewrite the expression.

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

Simplify the numerator.

Subtract $2$ from $1$ .

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

Add $2$ and $1$ .

$f (2) = - \frac{- 1 \cdot 3}{3}$

Simplify the expression.

Multiply $- 1$ by $3$ .

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

Divide $- 3$ by $3$ .

$f (2) = 1$

Multiply $- 1$ by $- 1$ .

$f (2) = 1$

The final answer is $1$ .

$1$

Convert $1$ to decimal.

$y = 1$

Find the point at $x = 3$ .

Replace the variable $x$ with $3$ in the expression.

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

Simplify the result.

Simplify the numerator.

Subtract $4$ from $3$ .

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

Add $3$ and $1$ .

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

Simplify the expression.

Multiply $3$ by $3$ .

$f (3) = - \frac{- 1 \cdot 4}{9}$

Multiply $- 1$ by $4$ .

$f (3) = - \frac{- 4}{9}$

Move the negative in front of the fraction.

$f (3) = \frac{4}{9}$

The final answer is $\frac{4}{9}$ .

$\frac{4}{9}$

Convert $\frac{4}{9}$ to decimal.

$y = 0.\overline{4}$

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

$\begin{array}{c} x & y \\ - 2 & 1 \\ - 1 & 0 \\ 1 & 2 \\ 2 & 1 \\ 3 & 0.444 \end{array}$

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

Not a polynomial

$\begin{array}{c} x & y \\ - 2 & 1 \\ - 1 & 0 \\ 1 & 2 \\ 2 & 1 \\ 3 & 0.444 \end{array}$

Graph f(x)=(x^2-3x-4)/(-3x)

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