Graph y=-7/4x^3

$y = - \frac{7}{4} x^{3}$

Step 1

Find the point at $x = - 2$ .

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

$f (- 2) = - \frac{7 {(- 2)}^{3}}{4}$

Simplify the result.

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

$f (- 2) = - \frac{7 \cdot - 8}{4}$

Multiply $7$ by $- 8$ .

$f (- 2) = - \frac{- 56}{4}$

Divide $- 56$ by $4$ .

$f (- 2) = 14$

The final answer is $14$ .

$14$

Convert $14$ to decimal.

$y = 14$

Step 2

Find the point at $x = 0$ .

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

$f (0) = - \frac{7 {(0)}^{3}}{4}$

Simplify the result.

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

$f (0) = - \frac{7 \cdot 0}{4}$

Multiply $7$ by $0$ .

$f (0) = - \frac{0}{4}$

Divide $0$ by $4$ .

$f (0) = - 0$

Multiply $- 1$ by $0$ .

$f (0) = 0$

The final answer is $0$ .

$0$

Convert $0$ to decimal.

$y = 0$

Step 3

Find the point at $x = 2$ .

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

$f (2) = - \frac{7 {(2)}^{3}}{4}$

Simplify the result.

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

$f (2) = - \frac{7 \cdot 8}{4}$

Multiply $7$ by $8$ .

$f (2) = - \frac{56}{4}$

Divide $56$ by $4$ .

$f (2) = - 1 \cdot 14$

Multiply $- 1$ by $14$ .

$f (2) = - 14$

The final answer is $- 14$ .

$- 14$

Convert $- 14$ to decimal.

$y = - 14$

Step 4

Find the point at $x = - 1$ .

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

$f (- 1) = - \frac{7 {(- 1)}^{3}}{4}$

Simplify the result.

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

$f (- 1) = - \frac{7 \cdot - 1}{4}$

Multiply $7$ by $- 1$ .

$f (- 1) = - \frac{- 7}{4}$

Move the negative in front of the fraction.

$f (- 1) = \frac{7}{4}$

The final answer is $\frac{7}{4}$ .

$\frac{7}{4}$

Convert $\frac{7}{4}$ to decimal.

$y = 1.75$

Step 5

Find the point at $x = 1$ .

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

$f (1) = - \frac{7 {(1)}^{3}}{4}$

Simplify the result.

One to any power is one.

$f (1) = - \frac{7 \cdot 1}{4}$

Multiply $7$ by $1$ .

$f (1) = - \frac{7}{4}$

The final answer is $- \frac{7}{4}$ .

$- \frac{7}{4}$

Convert $- \frac{7}{4}$ to decimal.

$y = - 1.75$

Step 6

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

$\begin{array}{c} x & y \\ - 2 & 14 \\ - 1 & 1.75 \\ 0 & 0 \\ 1 & - 1.75 \\ 2 & - 14 \end{array}$

Step 7

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

Rises to the left and falls to the right

$\begin{array}{c} x & y \\ - 2 & 14 \\ - 1 & 1.75 \\ 0 & 0 \\ 1 & - 1.75 \\ 2 & - 14 \end{array}$

Step 8

Graph y=-7/4x^3

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