Question

Draw the graph of the polynomial f(x) = x​

Answer 1

Answer:

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.