Consider the reciprocal function f(x)=x1, where x=0. Answer the following questions based on this function.
(i) Calculate the value of f(x) for each of the following x–values: −4, −2, −1, 21, 1, 3. Write your answers as simplified fractions.
(ii) Write the six ordered pairs (x,f(x)) obtained in part (i).
(iii) Using the ordered pairs, construct a neat table that could be used for plotting the graph of y=x1 on graph paper.
(iv) On a sheet of graph paper, plot the six points from your table and join them smoothly to sketch the two branches of the curve.