Meshgrid for 3 variables

Hello, I have a question. I am trying to solve a optimization problem but my function has 3 variables and I am not sure how to plot a 3d diagram of 3 variable function.

[VBBV]

Use plot3 function

Answer 1

[KSSV]

Read about surf.

[Sanket Sutar]

I forgot to mention the objective function is a nonlinear equation with three variables. Will surf function work? Thank you.

[KSSV]

What ever the function is...if you have matrix at the end, you can use surf.

[Sanket Sutar]

Hello KSSV, I read and tried using surf but can't seem to figure it out. I am very new to MATLAB.

And this is my function - (x+5).^2+(y+8).^2+(z+7).^2+(2.*x.^2.*y.^2)+(4.*x.^2.*z.^2);

Can you please point me in the right direction?

[KSSV]

m = 10 ; 
x = linspace(0,1,m) ; 
y = linspace(0,1,m) ;
z = linspace(0,1,m) ; 

[x,y,z] = meshgrid(x,y,z) ; 
f = (x+5).^2+(y+8).^2+(z+7).^2+(2.*x.^2.*y.^2)+(4.*x.^2.*z.^2);

figure
hold on
for i = 1:size(f,3)
    surf(x(:,:,i),y(:,:,i),z(:,:,i),f(:,:,i)) ; 
end
view(3)

Read about slice.

[Sanket Sutar]

Thank you so much for your help !!!