How to colormap different functions with one gradient?

So carefully I prepared this piecewise function:

u = 0:0.01:2*pi;
v = 2*pi:0.01:4*pi;
w = 4*pi:0.01:6*pi;

f = 1+sin(3*u);        %prepare image of first plot 

c = -0.2;
a = exp(-(c*2*pi+2*pi));
g = a*exp(c*v+2*pi);   %prepare image of second plot 

A = a*exp(c*4*pi+2*pi);
h = A+A*sin(3*w);      %prepare image of third plot 

hold all
plot(u,f,'b-','LineWidth',2.5)
plot(v,g,'r-','LineWidth',2.5)
plot(w,h,'b-','LineWidth',2.5)

grid on

How do I add a total gradient? One plot I can handle but more are challenging me.

[Jack Shannon]

What do you mean by "total gradient"? Do you mean the gradient of each piece of your function?

[Niklas Kurz]

Kinda: in general applying a total colormap over whole plot

Answer 1

[Niklas Kurz]

So I found a sneaky workaround: just bring it in 3D and apply a simple command

[u,x] = meshgrid(0:0.01:2*pi);
ux = 1+sin(3.*x);
surf(u,x,ux)
hold on

[v,y] = meshgrid(2*pi:0.01:4*pi,0:0.01:2*pi);
vy = a*exp(c*v+2*pi);
surf(y,v,vy)
hold on

[w,z] = meshgrid(4*pi:0.01:6*pi,0:0.01:2*pi);
wz = A+A*sin(3*w);
surf(z,w,wz)

shading interp
colormap('jet')

From side this looks like a twodimensional plot. Wouldn't have to perform all these tricks IF MATLAB WOULD JUST BRING colormap command for 2D plots. I don't freaking understand why they don't.