The cubic polynomial h(x)=x3+kx passes through the point (2,12).
(i) Determine the value of the constant k.
(ii) Using the value of k obtained, construct a table of values of h(x) for integral x from −3 to 3.
(iii) Plot the ordered pairs on graph paper, choose a convenient uniform scale, and draw the graph of y=h(x).
(iv) From the graph, write the coordinates of all the points where the curve meets the x-axis.
(v) State, with reason from the plotted points, whether h(x) is an even function, an odd function or neither.