MATLAB Sine Graph Generator: Multiple Plots with Varying Points

Certainly! Here's the MATLAB code for the function 'sineGraph' that graphs a sine function four times between the given intervals and returns the x and y values for the 256 point set:

function [x, y] = sineGraph(start, stop)
    % Initialize the number of points per interval
    points = [2, 4, 8, 256];
    
    % Create the figure
    figure;
    hold on;
    
    % Loop through each interval
    for i = 1:length(points)
        % Calculate the x values with the specified number of points
        x = linspace(start, stop, points(i));
        
        % Calculate the y values using the sine function
        y = sin(x);
        
        % Plot the sine function
        plot(x, y, 'DisplayName', ['Points: ', num2str(points(i))]);
    end
    
    % Add a legend and title
    legend;
    title('Multiple graphs on one plot');
    
    % Label the axes
    xlabel('x');
    ylabel('sin(x)');
end

To test the function with the given intervals, you can use the following code:

[x, y] = sineGraph(0, pi/2);

This will create a figure with four sine graphs plotted on the same axis, with the specified number of points per interval. The legend will show the number of points for each graph, and the title and axes labels will be added accordingly.

You can call the 'sineGraph' function with different intervals as well:

[x, y] = sineGraph(0, 2*pi);
[x, y] = sineGraph(0, 4*pi);
[x, y] = sineGraph(0, 16*pi);

The function will return the x and y values for the 256 point set in the respective intervals.

Hope this helps!