I get the same result for all three plots, except for a slightly different y-axis scale with ezplot.
syms x
figure
fx1 = ezplot(x-2*exp(-x), [0 1000]);
figure
fx2 = fplot(x-2*exp(-x), [0 1000]);
The exp term goes quickly to zero:
exp_term = exp(-[1, 10, 100, 1000])
exp_term =
0.36788 4.54e-05 3.7201e-44 0
so you will not see any effect on the line where ‘x’ dominates.