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#1: Initial revision
You're going to need to differentiate the curves where they pass through the origin, and also find the angle of the intercept. $$\frac{\textrm{d}}{\textrm{d}x} \textrm{blue curve}\Big\vert_{x=0} = 0$$ giving a limit $\theta_0=0$. $$\frac{\textrm{d}}{\textrm{d}x} \textrm{red curve}\Big\vert_{x=0} = 3$$ giving a limit $\theta_2=\arctan 3$. The intersection is at $x=2, y=2$, giving a cutoff at $\theta_1 = \arctan \tfrac22$.