Question 4. [5 points] Consider the function f(x) = x3 + 6x - 5. (a) ([2 point]) Prove that f(x) has a unique root in the interval [0, 1]. (b) ([2 points]) Rewrite the equation f(x) = 0 under the form g(x) = r for some function g(x) that satisfies the conditions for the convergence of the iteration sequence In+1 = g(In) (Verify that the conditions are satisfied). (c) ([1 point]) Use the fixed point iteration method to find the root of the equation f(x) = 0 in the interval [0, 1] to 4 decimal places, starting with To = 0.75