Table 1. Values of functions f_j at certain points.

	sgn(fj(−∞))	fj(0)	fj(1)	sgn(fj(+ ∞))
f 0	1	0.04${\tilde{I}}_{30}^2$	$0.04{\tilde{I}}_{30}^2+0.08{\tilde{I}}_{30}+0.04$	1
f 1	-4	$0.32{\tilde{I}}_{30}$	$-0.16{\tilde{I}}_{30}+0.48$	4
f 2	$0.12{\tilde{I}}_{30}+0.16$	$-0.04{\tilde{I}}_{30}^2-0.032{\tilde{I}}_{30}$	$-0.04{\tilde{I}}_{30}^2-0.104{\tilde{I}}_{30}+0.032$	$0.12{\tilde{I}}_{30}+0.16$
f 3	$\frac{192{\tilde{I}}_{30}^3+1216{\tilde{I}}_{30}^2+512{\tilde{I}}_{30}}{225{\tilde{I}}_{30}^2+600{\tilde{I}}_{30}+400}$	$\frac{-192{\tilde{I}}_{30}^3-128{\tilde{I}}_{30}^2}{225{\tilde{I}}_{30}^2+600{\tilde{I}}_{30}+400}$	$\frac{-384{\tilde{I}}_{30}^3-1344{\tilde{I}}_{30}^2-512{\tilde{I}}_{30}}{225{\tilde{I}}_{30}^2+600{\tilde{I}}_{30}+400}$	$\frac{-192{\tilde{I}}_{30}^3-1216{\tilde{I}}_{30}^2-512{\tilde{I}}_{30}}{225{\tilde{I}}_{30}^2+600{\tilde{I}}_{30}+400}$
f 4	$\frac{9{\tilde{I}}_{30}^6+51{\tilde{I}}_{30}^5+97{\tilde{I}}_{30}^4+72{\tilde{I}}_{30}^3+16{\tilde{I}}_{30}^2}{225{\tilde{I}}_{30}^4+2850{\tilde{I}}_{30}^3+10225{\tilde{I}}_{30}^2+7600{\tilde{I}}_{30}+1600}$