%% Plotting

%% Basic plotting commands
% The Matlab "plot" command is the basis for most two-dimensional plotting
% and visualization tasks in Matlab. If you provide a vector of data, the
% plot will index your values as 1, 2, 3, ... 
y = [1:.5:4].^2
plot(y)

%% Specify Domain values
% In this example, the domain values are not 1, 2, 3, ... but rather are
% spaced by 0.5. Once x is defined, the definition of y can be done in
% terms of x.
x = [1:.5:4]
y = x.^2

%% Plot
plot(x, y)

%% Another Example and Plotting Options
% This example looks at the function
%
% $$y = x \sin(x^2)$$
%
% The @ operator turns an expression in a
% variable into a function that takes
% the variable as its operand.
% NOTE: This is not supported in older versions of Matlab.
x = -10:0.001:10;
f = @(x) x.*sin(x.^2);
y = f(x);

plot(x,y);

%% Adjust axes
axis([-5 5 -4 4])

%% Add a Legend, title, axis labels
legend('y = x sin(x^2)')
title('My Plot')
xlabel('x')
ylabel('x sin(x^2)')

%% Grid, minor grid, and box around the whole plot
grid on
grid minor
box on