In this problem, you will be creating the function globalmin that uses MATLAB to

Question

In this problem, you will be creating the function globalmin that uses MATLAB to approximate the global minimum of a function within a given domain, and the index of that global minimum. Inputs Func - an arbitrary function. eg. @(x) x.^2 + 4 xStart - The first x value in the function domain xEnd - The last x value in the function domain Outputs: yMin -- The global minimum of the function within a given domain index -- The index for the global minimum of the function (i.e. in what position of the y vector was yMax located?) 1. Create an x vector with 668 elements in it that starts at xStart and finishes at xEnd. 2. Create a y vector which is the input function with the x vector as an input (ie, y = Func(x)). 3. Apply MATLAB's in-built min function to solve y. 4. Apply MATLAB's in-built find function to solve index. Function Template: function [yMin, index] = globalmin(Func, xStart, xEnd) %INSERT CODE end

Explanation / Answer

globalmin.m file

function [yMin,index] = globalmin(Func,xStart,xEnd)

% create a vector betwen xStart and xEnd with 668 elements
   x = linspace(xStart,xEnd,668);

   %pass the vector x to Func
   y = Func(x);

   %get min from y
   yMin = min(y)

   % find index of min in y
   index = find(y=yMin)
  
end

main.m file

%anonymus function
Func = @(x) x.^2+4;
%calling function globalmin
globalmin(Func,1,668)

%output

% yMin = 5

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