how to plot a function

Question

Ali Salem 2021-4-20

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https://ww2.mathworks.cn/matlabcentral/answers/807187-how-to-plot-a-function

编辑： Johannes Hougaard 2021-4-20

How can I plot this function below?

function [ content ] = caffeine( time, caffeineContent, durationBetween )
    halfLife = 5.7;
    tau = halfLife/log(2);
    n = floor(time/durationBetween);
    content = caffeineContent * exp(-time/tau) * (1-exp(durationBetween * (n+1)/tau))/(1-exp(durationBetween/tau));
end

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Answer 1

Rik 2021-4-20

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编辑：Rik 2021-4-20

在 MATLAB Online 中打开

The same as any other function: find a vector of x data and calculate the y data. Then you can use plot. You can use plot3 for xyz data.

Edit:

time=linspace(0,60,200);

caffeineContent=0.5;

durationBetween=1;

content=zeros(size(time));

for n=1:numel(time)

content(n) = caffeine( time(n), caffeineContent, durationBetween );

end

plot(time,content)

function content = caffeine( time, caffeineContent, durationBetween )

halfLife = 5.7;

tau = halfLife/log(2);

n = floor(time/durationBetween);

content = caffeineContent * exp(-time/tau) * (1-exp(durationBetween * (n+1)/tau))/(1-exp(durationBetween/tau));

end

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Ali Salem 2021-4-20

can you show me what that would look like?

Johannes Hougaard 2021-4-20

It is shown in the answer

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Answer 2

Johannes Hougaard 2021-4-20

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https://ww2.mathworks.cn/matlabcentral/answers/807187-how-to-plot-a-function#answer_679587

编辑：Johannes Hougaard 2021-4-20

在 MATLAB Online 中打开

Another way to do it would be using the fplot by which you don't need a for loop and to define the number of points in your x-axis

fh = @(x)caffeine(x,0.4,10); % That would be a .4 caffeineContent every 10 units.
figure; fplot(fh,[0 120]);

And I'd encourage you to vectorize your code using .* in stead of *

function content = caffeine( time, caffeineContent, durationBetween )
    halfLife = 5.7;
    tau = halfLife/log(2);
    n = floor(time/durationBetween);
    content = caffeineContent .* exp(-time/tau) .* (1-exp(durationBetween .* (n+1)/tau))/(1-exp(durationBetween/tau));

That way you could simply call

figure; plot(0:120,caffeine(0:120,0.6,8));