Let g(x)=x1,x=0.
(i) Prove that g is an odd function. (2)
(ii) Explain how the result of part (i) can be used to obtain the branch of the graph for x<0 once the branch for x>0 is known. (2)
(iii) Prepare a table of at least five convenient points for 0.2≤x≤5. Plot these points accurately, draw the branch for x>0, and, using the conclusion of part (ii), complete the branch for x<0. (4)
(iv) From your completed sketch, verify graphically that the curve approaches but never touches either coordinate axis. (2)