Mathematics

Problem

Let

f(x)=x^{3}

. (i) Construct a table of values for

f(x)

taking integral values of

x

from

-3

3

(inclusive) at an interval of

1

. (ii) Plot the ordered pairs obtained in part (i) on graph paper, choose a convenient uniform scale on both axes, and join the points smoothly to obtain the graph of

y=f(x)

. (iii) Using your graph, describe the symmetry of

y=f(x)

and state whether the function is even, odd or neither. Give reasons based on the plotted points. (iv) Write the domain and range of

f(x)

, justifying your answer from the nature of the graph.

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