Question 1. Open Methods (a) This sub-question (Question 1(a)) should be completed with no use of MATLAB. Consider the function fz) = ORI g Using tools from first year calculus: 1 ii. iii. Approximate the location z,,;, where this function achieves a global minimum value (round your answer to 4 significant digits). Justify how you know z,,,;;, corresponds to a minimum value by identifying intervals on which f is increasing or decreasing (i.e. apply the \"first derivative test\"). Use the Intermediate Value Theorem to prove that f has at least two distinct roots. (b) For this sub-question (Question 1(b)), you are required to build MATLAB functions for each of the open root finding methods we have discussed in this course: the Secant Method, Newton's Method, and the \"Simple\" Fixed Point Method. Each MATLAB function should take as input a real-valued symbolic function \"f\