Let . (i) Construct a table of values for taking integral values of from to…
MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions
Problem
Let f(x)=x3.
(i) Construct a table of values for f(x) taking integral values of x from −3 to 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.