0.4, 0.04, 0.44, 0.444, 0.404, 0.044 in order smallest first

I'm pretty sure it's  0.04, 0.044, 0.4, 0.404, 0.44, 0.444.

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).