Chapter 4.4, Problem 7P

Graph each function rule.

$y=x^3$

To determine

To plot: the function $y=x^3$ .

Explanation of Solution

Given:

The function is $y=x^3$ .

Calculation:

Steps to plot the function:

Step1

Consider any of the values of x and determine the values of y for the coordinates.

For x = 0,

  $\begin{array}{c}y={\left(0\right)}^3\\ =0\end{array}$

For x = 1,

  $\begin{array}{c}y={\left(1\right)}^3\\ =1\end{array}$

For x = -1,

  $\begin{array}{c}y={\left(-1\right)}^3\\ =-1\end{array}$

For x = 1.2,

  $\begin{array}{c}y={\left(1.2\right)}^3\\ =1.728\end{array}$

For x = -1.2,

  $\begin{array}{c}y={\left(-1.2\right)}^3\\ =-1.728\end{array}$

Thus, the plot of function $y=x^3$ is shown below: