%% Plot Hyperbolic Sine and Exponential Functions
% The hyperbolic sine satisfies the identity \sinh \left(x\right)=\frac{e^x -e^{-x} }{2}. In other words, \sinh \left(x\right) is half the difference of the functions e^x and e^{-x}. Verify this by plotting the functions.
%
% Create a vector of values between -3 and 3 with a step of 0.25. Calculate and plot the values of sinh(x), exp(x), and exp(-x). As expected, the sinh curve is positive where exp(x) is large, and negative where exp(-x) is large.

x = -3:0.25:3;
y1 = sinh(x);
y2 = exp(x);
y3 = exp(-x);
plot(x,y1,x,y2,x,y3)
grid on
legend('sinh(x)','exp(x)','exp(-x)','Location','bestoutside')

% Copyright 2018 The MathWorks, Inc.