I have written a function on MATLAB for calculating the gamma or LF of an input velocity in m/s. I am having trouble plotting gamma(y) against velocity(v) and cant find how to run through a function and plot those values. I need to plot the Lorentz factor LF for v between 0 and c (the speed of light). Please explain how and show me using MATLAB.

Here is the function I have:

function [y,v] = Gamma_Function(v)

%Inputs the velocity (v)

%Outputs the Lorentz Factor

c = 299792458; %Speed of light (m/s)

y = ((1)/(sqrt(1-((v^2)/(c^2))))); %Lorentz factor equation

end

Here is what I've tried:

1.

v = 1;

for v = 1:100000:299792458

v = ((v)/(299792458));

[y] = Gamma_Function(v); %calls function

plot(v,y)

xlabel ('Velocity')

ylabel ('Gamma')

grid on

end

2.

[y,v] = Gamma_Function(v);

figure;

plot(y);

hold on;

plot(v);

xlabel ('Velocity')

ylabel ('Gamma')

grid on