The function h(x)=4x is drawn on a pair of perpendicular axes.
(i) Plot the points corresponding to x=−2,−1,0,1,2 and sketch the curve y=h(x).
(ii) Write the equation of the inverse function of h and sketch its graph on the same axes.
(iii) Prove algebraically that the two graphs obtained in parts (i) and (ii) are reflections of each other in the line y=x.
(iv) Determine the coordinates of the point(s) where the graphs intersect.