In this question, f is the function f(x) = x^2 + 3/2 x− 5/18 (a) Use algebra to find the fixed points of

 In this question, f is the function f(x) = x^2 + 3/2 x− 5/18 (a) Use algebra to find the fixed points of f, and to classify them as attracting, repelling or indifferent. (b) Use the gradient criterion to determine an interval of attraction for one of the fixed points of f. (c) Find the exact values of the second and third terms of the sequence xn obtained by iterating f with initial term x0 = 0. (Express your answers as fractions in their lowest terms.) Hence state the long-term behaviour of this sequence, explaining your reasoning. Show all workings.