Plot a function along a line

Hello there,

I would like to plot a function of two variables along a line.

For instance, let us consider the function in . I would like to plot its restriction along the line .

Which is the best way to visualize it?

Thanks a lot.

Answer 1

[Walter Roberson]

syms x y(x)
y(x) = x

y(x) = 

x

f = x^2 + y(x)^2

f = 

fsurf(x, y(x), f, [0 1])

[avati91]

Thanks a lot for the quick answer. I have another question connected to that. If now I have a collection of points in such that they represent a line a for such I have a value representing the value of a function. How could I plot the function in this case?

[Walter Roberson]

%example data
n = 20;
x = sort(rand(1,n));
y = sort(rand(1,n));
z = x.^2 + y.^2 - atan2(y,x);

%do the plotting
plot3(x, y, z)
xlabel('x'); ylabel('y'); zlabel('z')

[avati91]

Thank you very much for the extremely quick answer!