Answer to Question #286763 in Discrete Mathematics for Ravi

Question

Assume that the function y(x) = f (x) + g(x) has a single local minimum in the

interval 0 <= x <= 1, at x = xm. Write

(i) a function M-file (called funct.m) and

(ii) a MATLAB statement (using the fminbnd command)

that together will compute xm and the value of y at xm.

Answer 1

i)

Matlab function code('func.m'):

function fun = func (x)

$\mathrm{f}=@(\mathrm{x}) \mathrm{x}^3 ;$ g=@(x) 2^{*} x+1 ;

$fun =f(x)-g(x);$

end

ii) Main Program:

$\mathrm{clc}$

$\mathrm{f}=@(\mathrm{x}) func (\mathrm{x}) ;$

$c=f z e r o(f,-1) ;$

fprintf('The zero of the function is, c=% 4.2f \n', c);

Output: