1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). Use finite differences to
determine the equation of the function.
(b) Draw the graph of the function.
(c) Draw the inverse on the graph.
(d) Show at least two different restrictions to the domain that could be made so that the
inverse is a function.
(e) Find the equation of the inverse.
(f) Show using the domains found in part (d) that the domain of the function is the
range of the inverse and that the range of the function is the domain of the inverse.