Question

Draw the graph of the polynomial $f\left(x\right)=x^3$.

Answer 1

Let y = f(x) or, $y=x^3$.
The values of y for various values of x are given in the following table:

x	-4	-3	-2	-1	0	1	2	3	4
$y=x^3$.	-64	-27	-8	-1	0	1	8	27	64

Thus, the curve $y=x^3$ passes through the points (- 4,- 64), (- 3, - 27), (- 2, - 8), (-1, - 1), (0, 0), (1,1), (2, 8), (3,27), (4, 64) etc.
Plotting these points on a graph paper and drawing a free hand curve passing through these points, we obtain the graph of the given polynomial as shown in Figure.