Chapter 4, Problem 6CR

To determine

To graph: The equation $y=x^3$

Explanation of Solution

Given information:

The equation $y=x^3$

Graph:

Here, the equation is $y=x^3$

To find the points on the graph

Consider the below table

  $\begin{array}{ccc}x& y=x^3& \left(x,y\right)\\ -3& -27& \left(-3,-27\right)\\ -2& -8& \left(-2,-8\right)\\ -1& -1& \left(-1,-1\right)\\ 0& 0& \left(0,0\right)\\ 1& 1& \left(1,1\right)\\ 2& 8& \left(2,8\right)\\ 3& 27& \left(3,27\right)\end{array}$

Now, plot these points and connect with the smooth curve.

The graph of the equation becomes

  

Interpretation:

The above graph is the graph of the odd function $y=x^3$