Plot the function combining an exponential function and a step function
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Nick
el 10 de Abr. de 2022
Comentada: Sam Chak
el 10 de Abr. de 2022
I have a funtion involving exponential functions and one exponent is a step function of x.
The plot I need is y vs x,
y=(e^(2t)-1)*e^(-2.5x) ,
and t is a step function of x
where t=x for x<10
t=10 for x>=10
Please help me to plot such a function in xy space.
syms x ;
t =piecewise(x<10,x,x>=10,10);
y=(exp(2*t)-1)*exp(-2.5*x);
fplot(y)
The curve I got from the code above is clearly not correct. Could anyone tell me what is wrong and how to fix it? Thanks!
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Respuesta aceptada
Riccardo Scorretti
el 10 de Abr. de 2022
Hi Nick,
Your program seems correct. Perhaps you need to adapt the range over which the graphic is plotted (the default range is [-5 5]). For instance, in the range [0 20] one obtains:
syms x
t = piecewise(x<10, x, x>=10, 10);
y = (exp(2*t)-1) * exp(-2.5*x);
fplot(y, [0 20], 'LineWidth', 2); % Plot between [0 20]
grid on ; xlabel('x') ; hold on ; drawnow
Let's check it by removing the function t and plotting separately on [0 10] and [10 20]:
y = (exp(2*x)-1) * exp(-2.5*x);
fplot(y, [0 10], 'Color', 'r');
y = (exp(2*10)-1) * exp(-2.5*x);
fplot(y, [10 20], 'Color', 'r');
grid on ; xlabel('x');
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Sam Chak
el 10 de Abr. de 2022
Hi @Nick
Please check the piecewise function
if it is what you desire. Then, check the equation
and the plot.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/959105/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/959110/image.png)
subplot(2, 1, 1)
fplot(@(x) min(x,10), [-1 15])
grid on
xlabel('x')
ylabel('t')
title('Function t(x)')
subplot(2, 1, 2)
fplot(@(x) (exp(2*min(x, 10))-1).*exp(-2.5*x), [-1 15])
grid on
xlabel('x')
ylabel('y')
title('Function y(x)')
Result
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/959115/image.png)
2 comentarios
Sam Chak
el 10 de Abr. de 2022
Don't mention it. There are many tricks and tips you can learn along.
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