NUMERICAL METHOD 1. Given f(:.':) = 23,\"1 35c 8 = 0 has a root between I = 2 and :c = 1. (a) List down three possible iteration functions (J: = 9(2)) for nding the root of the above function if you were asked to use the xed-point iteration method. (b) Determine the form of g(:r) from part (a) that could be used according to the condi- tion below: The xed-point iteration method converges if, in the neighborhood of the xed point, the derivative of 9(1) has an absolute value that is smaller than 1, which is lg'(:r)|