Identify and odd or even function

I've been trying to add to my program, a part that can identify if a function is odd or even, not a number, a function.

Answer 1

[BhaTTa]

To determine if a function is odd, even, or neither, you can implement a MATLAB function that tests the symmetry properties of the function. The function ( f(x) ) is:

• Even if ( f(x) = f(-x) ) for all ( x ).
• Odd if ( f(x) = -f(-x) ) for all ( x ).

Here's a MATLAB function that takes a function handle as input and determines whether it is even, odd, or neither:

function result = checkFunctionSymmetry(func, xRange)
    % Check if a function is odd, even, or neither
    % func: function handle, e.g., @(x) x.^2
    % xRange: vector specifying the range of x values to test, e.g., linspace(-10, 10, 1000)

    % Evaluate the function at x and -x
    xValues = xRange;
    f_x = func(xValues);
    f_neg_x = func(-xValues);
    
    % Check for even symmetry
    if all(abs(f_x - f_neg_x) < 1e-10)  % Tolerance for numerical precision
        result = 'Even';
    % Check for odd symmetry
    elseif all(abs(f_x + f_neg_x) < 1e-10)
        result = 'Odd';
    else
        result = 'Neither';
    end
end